Papers

Publications

To appear

163. Calderon-Zygmund estimates for nonlinear elliptic obstacle problems with log-BMO matrix weights, with Yumi, Discrete and Continuous Dynamical Systems Series B, to appear.
162. Elliptic equations with matrix weights and measurable nonlinearities on nonsmooth domains, with Yumi Cho and Ho-Sik Lee, Proceedings of the American Mathematical Society, to appear.
161. Regularity results for a class of nonlocal double phase equations with VMO coefficients, with Kyeongbae Kim and Deepak Kumar, Publicacions Matematiques, to appear.
160. Regularity for Orlicz phase problems, with Sumiya Baasandorj, Memoirs of American Mathematical Society, to appear.

2024

159. C1,„į-regularity for a class of degenerate/singular fully nonlinear elliptic equations, with Sumiya Baasandorj, Ki-Ahm Lee and Se-Chan Lee, Interfaces and Free Boundaries, 26 (2024), no. 2, 189-215.
158. Gradient estimates for mixed local and nonlocal parabolic problems with measure data, with Kyeongbae Kim and Deepak Kumar, Journal of Mathematical Analysis and Applications, 538 (2024), no. 2, Paper No. 128351.
157. Optimal regularity for elliptic equations with measurable nonlinearities under nonstandard growth, with Ho-Sik Lee, International Mathematics Research Notices(2024), no. 1, 423-461.
156. Global gradient estimates for the mixed local and nonlocal problems with measurable nonlinearities, with Deepak Kumar and Ho-Sik Lee, Calculus of Variations and Partial Differential Equations, (2024) 63:27.
155. A Holder estimate with an optimal tail for nonlocal parabolic p-Laplace equations, with Kyeongbae Kim, Annali di Matematica Pura ed Applicata(4) 203 (2024), no. 1, 109-147.
154. Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations, with Sumiya Baasandorj, Ki-Ahm Lee and Se-Chan Lee, Mathematische Zeitschrift, 306 (2024), no. 1, 1.

2023

153. Gradient estimates for Orlicz double phase problems, with Sumiya Baasandorj, Annali della Scuola Normale Superiore di Pisa.(5), 24 (2023), no. 4, 2215-2268.
152. Nonlocal Harnack inequality for fractional elliptic equations with Orlicz growth, with Hyojin Kim and Kyeong Song, Bulletin of the London Mathematical Society, 55(2023), no.5, 2382-2399.
151. Self-improving properties of very weak solutions to double phase systems, with Sumiya Baasandorj and Wontae Kim, Transactions of American Mathematical Society, (2023), no. 12, 8733-8768.
150. Fractional differentiability for elliptic double obstacle problems with measure data, with Kyeong Song and Yeonghun Youn, Zeitschrift fur Analysis und ihre Anwendungen (ZAA), 42 (2023), no. 1, 37-64.
149. Fractional differentiability for elliptic measure data problems with variable exponentss, with Kyeong Song, Journal of Differential Equations, 375 (2023), 769-795.
148. C1 regularity for some degenerate/singular fully nonlinear elliptic equations, with Sumiya Baasandorj and Jehan Oh, Applied Mathematics Letters, 146 (2023), Paper No. 108830.
147. Local Holder continuity for fractional nonlocal equations with general growth, with Hyojin Kim and Jihoon Ok, Mathematische Annalen, 387 (2023), no. 1-2, 807-846.
146. Potential estimates for elliptic measure data problems with irregular obstacles, with Kyeong Song and Yeonghun Youn, Mathematische Annalen, 387 (2023), no. 1-2, 745-805.
145. Global Maximal Regularity for equations with degenerate weights, with Anna Kh. Balci, Lars Diening and Ho-Sik Lee, Journal de Mathematiques Pures et Appliquees, 177 (2023), 484-530.
144. Existence and regularity for nonlinear parabolic double obstacle problems, with Seungjin Ryu, Nonlinearity, 36 (2023), no. 9, 4785-4809.
143. Calderon-Zygmund estimates for nonlinear parabolic equations with matrix weights on nonsmooth domains, with Yumi Cho, Journal of Differential Equations, Volume 371, 25 October 2023, Pages 231-259.
142. Higher Holder regularity for nonlocal parabolic equations with irregular kernels, with Hyojin Kim and Kyeongbae Kim, Journal of Evolution Equations, 23, Article number: 53 (2023).
141. Global gradient estimates of very weak solutions for a general class of quasilinear elliptic equations, with Minkyu Lim, Journal of Geometric Analysis, 33 (2023), no. 5, 156.
140. Estimates for the p-Laplacian type operator in the subcritical Sobolev exponent range, with Moonhyun Heo and Wontae Kim, Mathematische Nachrichten (2023), 1-16.
139. Gradient estimates for non-uniformly elliptic problems with BMO nonlinearity, with Ho-Sik Lee, Journal of Mathematical Analysis and Applications 520 (2023), no. 1, Paper No. 126894.
138. Mixed local and nonlocal equations with measure data, with Kyeong Song, Calculus of Variations and Partial Differential Equations 62 (2023), no. 1, Paper No. 14.

2022

137. Holder regularity for weak solutions to nonlocal double phase problems, with Jihoon Ok and Kyeong Song, Journal de Mathematiques Pures et Appliquees, Volume 168, December 2022, Pages 110-142.
136. Global Holder continuity of solutions to quasilinear equations with Morrey data, with Dian K. Palagachev and Pilsoo Shin, Communications in Contemporary Mathematics 24 (2022), no. 8, Paper No. 2150062, 41 pp.
135. Higher differentiability for solutions of a general class of nonlinear elliptic obstacle problems with Orlicz growth, with Namkyeong Cho, Nonlinear Differential Equations and Applications 29 (2022), no. 6, Paper No. 73, 25 pp.
134. Gradient estimates of very weak solutions to general quasilinear elliptic equations, with Minkyu Lim, Journal of Functional Analysis, 283 (2022), no. 10, Paper No. 109668.
133. Maximal differentiability for a general class of quasilinear elliptic equations with right-hand side measures, with Namkyeong Cho and Ho-Sik Lee, International Mathematics Research Notices, 2022, no. 13, 9722-9754.
132. On W2,p-estimates for solutions of obstacle problems for fully nonlinear elliptic equations with oblique boundary conditions, with Jeongmin Han and Jehan Oh, Calculus of Variations and Partial Differential Equations 61 (2022), no. 5, Paper No. 162.
131. Global Calderon-Zygmund estimate for p-Laplacian parabolic system, with Wontae Kim, Mathematische Annalen. 383 (2022), no. 1-2, 77-118.
130. Partial existence result for homogeneous quasilinear parabolic problems beyond the duality pairing, with Karthik Adimurthi and Wontae Kim, Calculus of Variations and Partial Differential Equations 61 (2022), no. 4, Paper No. 159.
129. Gradient estimates for Orlicz double phase problems with variable exponents, with Sumiya Baasandorj and Ho-Sik Lee, Nonlinear Analysis, Nonlinear Anal. 221 (2022), Paper No. 112891, 36 pp.
128. Maximal integrability for general elliptic problems with diffusive measures, with Kyeong Song, Mediterranean Journal of Mathematics, 19 (2022), no. 2, Paper No. 78.
127. Calderon-Zygmund estimates for non-uniformly elliptic equations with discontinuous nonlinearities on nonsmooth domains, with Minkyu Lim, Journal of Differential Equations, 312 (2022), 374-406.
126. Fractional differentiability for a class of double phase problems with measure data, with Pilsoo Shin and Kyeong Song, Manuscripta Mathematica, 167 (2022), no. 3-4, 521-543.
125. Irregular obstacle problems for Orlicz double phase, with Sumiya Baasandorj, Journal of Mathematical Analysis and Applications, 507 (2022), no. 1, Paper No. 125791, 21 pp.
124. Lp-estimates for the Hessians of solutions to fully nonlinear parabolic equations with oblique boundary conditions, with Jeongmin Han, Journal of Mathematical Analysis and Applications, 505 (2022), no. 1, 125461. 34 pp.

2021

123. Gradient Estimates of „ų-Minimizers to Double Phase Variational Problems with Variable Exponents, with Ho-Sik Lee, Quarterly Journal of Mathematics, 72 (2021), no. 4, 1191 221.
122. Global gradient estimates for a general class of quasilinear elliptic equations with Orlicz growth, with Sumiya Baasandorj and Ho-Sik Lee, Proceedings of the American Mathematical Society, 149 (2021), no. 10, 4189-4206.
121. End point gradient estimates for quasilinear parabolic equations with variable exponent growth on nonsmooth domains, with Karthik Adimurthi and Jung-Tae Park, Calculus of Variations and Partial Differential Equations 60 (2021), no. 4, Paper No. 145.
120. Nonlinear gradient estimates for elliptic double obstacle problems with measure data, with Yumi Cho and Jung-Tae Park, Journal of Differential Equations 293 (2021), 249-281.
119. Global gradient estimates for a borderline case of double phase problems with measure data, with Namkyeong Cho and Yeonghun Youn, Journal of Mathematical Analysis and Applications 501 (2021), no. 1, 124072.
118. Calderon-Zygmund estimates for elliptic double phase problems with variable exponents, with Ho-Sik Lee, Journal of Mathematical Analysis and Applications 501 (2021), no. 1, 124015.
117. Gradient estimates for multi-phase problems, with Sumiya Baasandorj and Jehan Oh, Calculus of Variations and Partial Differential Equations 60 (2021), no. 3, 104.
116. Existence and regularity of solutions for nonlinear measure data problems with general growth, with Namkyeong Cho and Yeonghun Youn, Calculus of Variations and Partial Differential Equations 60 (2021), no. 2. 80.
115. Global regularity for degenerate/singular parabolic equations involving measure data, with Jung-Tae Park and Pilsoo Shin, Calculus of Variations and Partial Differential Equations 60 (2021), no. 1, Paper No. 18, 32 pp.
114. Optimal fractional differentiability for nonlinear parabolic measure data problems, with Namkyeong Cho and Kyeong Song, Applied Mathematics Letters 112 (2021), 106816. 35.
113. Fractional differentiability results for nonlinear measure data problems with coefficients in C^„į_„ć, with Pilsoo Shin and Yeonghun Youn, Journal of Differential Equations, 270 (2021), 390-434.

2020

112. Higher integrability near the initial boundary for nonhomogeneous parabolic systems of p-Laplacian type, with Wontae Kim and Minkyu Lim, Forum Mathematicum, 32 (2020), no. 6, 1539-1559.
111. Calderon-Zygmund estimates for quasilinear elliptic double obstacle problems with variable exponent and logarithmic growth, with Yumi Cho and Shuang Liang, Discrete Contin. Dyn. Syst. Ser. B., 25 (2020), no. 10, 3843-3855.
110. Asymptotically regular operators in generalized Morrey spaces, with Lyoubomira Softova, Bulletin of the London Mathematical Society, 52 (2020) 64-76.
109. Nonlinear obstacle problems with double phase in the borderline case, with Yumi Cho and Jehan Oh, Mathematische Nachrichten, 293 (2020), no. 4, 651-669.
108. Regularity results for generalized double phase functionals, with Jehan Oh, Analysis & PDE, Vol. 13 (2020), No. 5, 1269-1300
107. Calderon-Zygmund estimates for generalized double phase problems, with Sumiya Baasandorj and Jehan Oh, Journal of Functional Analysis, 279 (2020), no. 7, 108670, 57 pp.
106. Irregular double obstacle problems in Orlicz spaces, with Shuang Liang and Jihoon Ok, Journal of Geometric Analysis, 30 (2020), no. 2, 1965-1984.
105. Optimal regularity estimates for general nonlinear parabolic equations, with Dian K. Palagachev and Pilsoo Shin, Manuscripta Mathematica, 162 (2020), no. 1-2, 67-98.
104. Interior and boundary higher integrability of very weak solutions for quasilinear parabolic equations with variable exponents, with Karthik Adimurthi and Jehan Oh, Nonlinear Analysis, 194 (2020), 111370.
103. Gradient estimates for nonlinear elliptic double obstacle problems, with Seungjin Ryu, Nonlinear Analysis, 194 (2020), 111333.
102. W2,p-estimates for fully nonlinear elliptic equations with oblique boundary conditions, with Jeongmin Han, Journal of Differential Equations, Volume 268, Issue 5, Pages 2125-2150, 2020.
101. Survey on gradient estimates for nonlinear elliptic equations in variable coefficients, with Dian K. Palagachev and Lubomira G. Sotfova, St. Petersburg Math. J. 31 (2020), no. 3, 401-419.

2019

100. Potential estimates for elliptic systems with subquadratic growth, with Yeonghun Youn, Journal de Mathematiques Pures et Appliquees, 131 (2019), 193-224.
99. On global Lq estimates for systems with p-growth in rough domains, with Miroslav Bulicek, Petr Kaplicky, Jehan Oh and Sebastian Schwarzacher, Calculus of Variations and Partial Differential Equations, 58 (2019), no. 6, Paper No. 185.
98. Nonlinear gradient estimates for double phase elliptic problems with irregular double obstacles, with Shuang Liang and Shen-Zhou Zheng, Proceedings of the American Mathematical Society, 147 (2019), no. 9, 3839-3854.
97. Gradient weighted estimates at the natural exponent for Quasilinear Parabolic equations, with Karthik Adimurthi, Advances in Mathematics, 348 (2019), 456-511.
96. Regularity results of the thin obstacle problem for the p(x)-Laplacian, with Ki-Ahm Lee, Jehan Oh and Jinwan Park, Journal of Functional Analysis, 276 (2019), 496-519.
95. Boundary higher integrability for very weak solutions of quasilinear parabolic equations, with Karthik Adimurthi, Journal de Mathematiques Pures et Appliquees, 121 (2019), 244-285.
94. Regularity estimates for nonlinear elliptic measure data problems with nonstandard growth, with Shuang Liang and Yeonghun Youn, Nonlinear Analysis, 182 (2019), 303-315.

2018

93. Optimal regularity for nonlinear elliptic equations with right-hand side measure in variable exponent spaces, with Jung-Tae Park, Indiana University Mathematics Journal, 67 (2018), no. 6, 2123-2150. .
92. Global gradient estimates for asymptotically regular problems of p(x)-Laplacian type, with Jehan Oh, Communications in Contemporary Mathematics, 20 (2018), no. 8, 1750079, 15 pp.
91. Riesz potential estimates for parabolic equations with measurable nonlinearities, with Youchan Kim, International Mathematics Research Notices, 2018, no. 21, 6737-6779.
90. Calderon-Zygmund estimate for homogenization of steady state Stokes systems in nonsmooth domains, with Yunsoo Jang ans Hyoungsuk So, Journal of Dynamics and Differential Equations 30 (2018), no. 4, 1945-1966.
89. Global gradient estimate for spherical quasi-minimizers of integral functionals with p(x)-growth, with Jihoon Ok and Yeonghun Youn, Nonlinear Analysis, 177 (2018), 186-208.
88. Gradient estimates for double phase problems with irregular obstacles, with Yumi Cho and Jehan Oh, Nonlinear Analysis, 177 (2018), 169-185.
87. Nondivergence elliptic and parabolic problems with irregular obstacles, with Ki-Ahm Lee, Jehan Oh and Jinwan Park, Mathematische Zeitschrift, 290 (2018), no. 3-4, 973-990.
86. Global Sobolev regularity for general elliptic equations of p-Laplacian type, with Dian K. Palagachev and Pilsoo Shin, Calculus of Variations and Partial Differential Equations 57 (2018), no. 5, 57:135.
85. Global weighted Orlicz estimates for parabolic measure data problems: Application to estimates in variable exponent spaces, with Jung-Tae Park, Journal of Mathematical Analysis and Applications, Volume 467, Number 2, Pages 1194-1207, 2018.
84. Calderon-Zygmund estimates for „ų-minimizers of double phase variational problems, with Seungjin Ryu and Pilsoo Shin, Applied Mathematics Letters, Volume 86, Pages 256-263, 2018
83. Sharp gradient estimates for quasilinear elliptic equations with p(x) growth on nonsmooth domains, with Karthik Adimurthi and Jung-Tae Park, Journal of Functional Analysis, Volume 274, Number 12, Pages 3411-3469, 2018.
82. Nondivergence parabolic equations in weighted variable exponent space, with Mikyoung Lee and Jihoon Ok, Transactions of American Mathematical Society, Volume 370, Number 4, Pages 2263-2298, 2018.
81. Homogenization of the conormal derivative problem for elliptic systems in Reifenberg domains, with Yunsoo Jang, Communications in Contemporary Mathematics, Volume 20, Number 2, 26 pages, 2018.
80. Riesz potential estimates for a class of double phase problems, with Yeonghun Youn, Journal of Differential Equations, Volume 264, Pages 1263-1316, 2018.
79. Global Morrey regularity for asymptotically regular elliptic equations, with Jehan Oh, Applied Mathematics Letters, Volume 76, Pages 227-235, 2018

2017

78. Optimal gradient estimates via Riesz potentials for p(”¤)-Laplacian type equations, with Yeonghun Youn, Quarterly Journal of Mathematics, Volume 68, Issue 4, Pages 1071-1115, 2017.
77. Regularity estimates for quasilinear elliptic equations with variable growth involving measure data, with Jihoon Ok and Jung-Tae Park, Annales de l'Institut Henri Poincare / Analyse non lineaire, Volume 34, Number 7, Pages 1639-1667, 2017.
76. Weighted regularity estimates in Orlicz spaces for fully nonlinear elliptic equations, with Mikyoung Lee and Jihoon Ok, Nonlinear Analysis, Volume 162, Pages 178-196, 2017.
75. W1,p estimates in homogenization of elliptic systems with measurable coefficients, with Yunsoo Jang, Mathematische Nachrichten, Volume 290, Number 8-9, Pages 1249-1259, 2017.
74. Global C^{1,„į} regularity and existence of multiple solutions for singular p(x)-Laplacian equations, with Eunkyung Ko, Calculus of Variations and Partial Differential Equations, Volume 56, Numbers 3, 29 Pages, 2017.
73. Lipschitz regularity for a general class of quasilinear elliptic equations in convex domains, with Hyoungsuk So, Journal of Mathematical Analysis and Applications, Volume 453, Issue 1, Pages 32-47, 2017.
72. Global gradient estimates for the borderline case of double phase problems with BMO coefficients in nonsmooth domains, with Jehan Oh, Journal of Differential Equations, Volume 263, Issue 2, Pages 1643-1693, 2017.
71. Weighted Orlicz estimates for general nonlinear parabolic equations over nonsmooth domains, with Seungjin Ryu, Journal of Functional Analysis, Volume 272, Number 10, Pages 4103-4121, 2017.
70. Global gradient estimates for non-uniformly elliptic equations, with Jehan Oh, Calculus of Variations and Partial Differential Equations, Volume 56, Numbers 2, 36 Pages, 2017.
69. Weighted estimates for generalized steady Stokes systems in nonsmooth domains, with Hyoungsuk So, Journal of Mathematical Physics, Volume 58, Issue 2, 19 Pages, 2017.

2016

68. Calderon-Zygmund estimate for homogenization of parabolic systems, with Yunsoo Jang, Discrete and Continuous Dynamical System-A, Volume 36, Issue 12, Pages 6689-6714, 2016.
67. Boundedness of solutions to quasilinear parabolic equations, with Dian K. Palagachev and Pilsoo Shin, Journal of Differential Equations, Volume 261, Number 12, Pages 6790-6805, 2016.
66. Global W1,p estimates for elliptic systems in homogenization problems in Reifenberg domains, with Yunsoo Jang, Annali di Matematica Pura ed Applicata (4), Volume 195, Number 6, Pages 2061-2075, 2016.
65. Sobolev-Morrey regularity of solutions to general quasilinear elliptic equations, with Dian K. Palagachev and Pilsoo Shin, Nonlinear Analysis Series A: Theory, Methods & Applications, Volume 147, Pages 176-190, 2016.
64. Nonlinear parabolic equations with variable exponent growth in nonsmooth domains, with Jihoon Ok, SIAM Journal on Mathematical Analysis, Volume 48, Number 5, Pages 3148-3190, 2016.
63. On W1,q(x)-estimates for elliptic equations of p(x)-Laplacian type, with Jihoon Ok, Journal de Mathematiques Pures et Appliquees, Volume 106, Issue 3, Pages 512-545, 2016.
62. Gradient estimates for nonlinear elliptic equations with vanishing Neumann data in quasiconvex domains, with Hun Kwon, Journal of Mathematical Analysis and Applications, Volume 443, Number 2, Pages 868-890, 2016.
61. Global gradient estimates for nonlinear obstacle problems with nonstandard growth, with Yumi Cho and Jihoon Ok, Forum Mathematicum, Volume 28, Number 4, Pages 868-890, 2016.
60. Optimal gradient estimates for parabolic equations in variable exponent spaces, with Jihoon Ok, International Mathematics Research Notices, Volume 2016, Number 8, Pages 2493-2521, 2016.
59. Global gradient estimates for elliptic equations of p(x)-Laplacian type with BMO nonlinearity, with Jihoon Ok and Seungjin Ryu, Journal Fur Die Reine Und Angewandte Mathematik (Crelle's Journal), Volume 2016, Issue 715, Pages 1-38, 2016.
58. Nonlinear gradient estimates for generalized elliptic equations with nonstandard growth in nonsmooth domains, with Yumi Cho, Nonlinear Analysis Series A: Theory, Methods & Applications, Volume 140, Pages 145-165, 2016.
57. Parabolic obstacle problem with measurable data in generalized Morrey spaces, with Lubomira G. Sofotova, Zeitschrift fur Analysis und ihre Anwendungen, Volume 35, number 2, Pages 153-171, 2016.
56. W2,p estimates for solutions to asymptotically elliptic equations in nondivergence form, with Jehan Oh and Lihe Wang, Journal of Differential Equations, Volume 260, Issue 11, Pages 7965-7981, 2016.
55. Global gradient estimates in weighted Lebesgue spaces for parabolic operators, with Dian K. Palagachev and Lubomira G. Sofotova, Annales Academi©” Scientiarum Fennic©”Mathematica, Volume 41, Pages 67-83, 2016.
54. Parabolic systems with measurable coefficients in weighted Orlicz spaces, with Jihoon Ok, Dian K. Palagachev and Lubomira G. Sofotova, Communications in Contemporary Mathematics, Volume 18, Number 2, 19 pages, 2016.
53. Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations, with Mikyoung Lee and Dian K. Palagachev, Journal of Differential Equations, Volume 260, Issue 5, Pages 4550-4571, 2016.
52. Elliptic equations with measurable nonlinearities in nonsmooth domains, with Youchan Kim, Advances in Mathematics, Volume 288, Pages 152-200, 2016.

2015

51. W2,p(x)-regularity for elliptic equations in nondivergence form with BMO coefficients, with Mikyoung Lee and Jihoon Ok, Mathematische Annalen, Volume 363, Issue 3, Pages 1023-1052, 2015.
50. Gradient estimates in generalized Morrey spaces for parabolic operators, with Lubomira G. Sofotova, Mathematische Nachrichten, Volume 288, Issue 14-15, Pages 1602-1614, 2015.
49. Global Calderon-Zygmund Theory for Asymptotically Regular Nonlinear Elliptic and Parabolic Equations, with Jehan Oh and Lihe Wang, International Mathematics Research Notices, Volume 2015, Number 17, Pages 8289-8308, 2015.
48. Nonlinear gradient estimates for elliptic equations in quasiconvex domains, with Hun Kwon, Hyoungsuk So and Lihe Wang, Calculus of Variations and Partial Differential Equations, Volume 54, Number 2, Pages 1425-1453, 2015.
47. Weighted estimates for nondivergence parabolic equations in Orlicz spaces, with Mikyoung Lee, Journal of Functional Analysis, Volume 269, Number 8, Pages 2530-2563, 2015.
46. Global continuity of solutions to quasilinear equations with Morrey data, with Dian K. Palagachev and Pilsoo Shin, Comptes Rendus Mathematique, Volume 353, Number 8, 717-721, 2015.
45. Weighed estimates for nonlinear elliptic problems with Orlicz data, with Seungjin Ryu, Journal of elliptic and parabolic equations, Volume 1, 49-61, 2015.
44. Global Calderon-Zygmund theory for nonlinear elliptic obstacle problems with asymptotically regular nonlinearities, with Yumi Cho and Jehan Oh, Nonlinear Analysis Series A: Theory, Methods & Applications, Volume 123-124, Pages 150-157, 2015.
43. Lorentz-Morrey regularity for nonlinear elliptic problems with irregular obstacles over Reifenberg flat domains, with Yumi Cho, Discrete and Continuous Dynamical System-A, Volume 35, Number 10, 4791-4804, 2015.
42. Global weighted estimates for nonlinear elliptic obstacle problems over Reifenberg domains, with Yumi Cho and Dian K. Palagachev, Proceeding of American Mathematical Society, Volume 143, Number 6, 2527-2541, 2015.
41. On weighted W2,p estimates for elliptic equations with BMO coefficients in nondivergence form, with Mikyoung Lee, International Journal of Mathematics, Number 1, 1550001 (28 pages). 2015.
40. Nonlinear gradient estimates for parabolic obstacle problems in non-smooth domains, with Yumi Cho, Manuscripta Mathematica, Numbers 3-4, Pages 539-558. 2015.

2014

39. Elliptic obstacle problems with measurable coefficients in non-smooth domains, with Dian K. Palagachev and Seungjin Ryu, Numerical Functional Analysis and Optimization, Volume 35, Pages 893-910, 2014.
38. Weighted Lp-estimates for elliptic equations with measurable coefficients in nonsmooth domains, with Dian K. Palagachev, Potential Analysis, Volume 41, Issue 1, Pages 51-79, 2014.
37. W1,p(x)-regularity for elliptic equations with measurable coefficients in nonsmooth domains, with Jihoon Ok and Lihe Wang, Communications in Mathematical Physics, Volume 329, Issue 3, Pages 937-958, 2014.
36. Morrey Regularity of solutions to quasilinear elliptic equations over Reifenberg flat domains, with Dian K. Palagachev, Calculus of Variations and Partial Differential Equations, Volume 49, Numbers 1-2, Pages 37-76, 2014.
35. Nonlinear gradient estimates for parabolic problems with irregular obstacles, with Yumi Cho, Nonlinear Analysis Series A: Theory, Methods & Applications, Volume 94, Pages 32-44, 2014.

2013

34. Boundedness of the Weak Solutions to Quasilinear Elliptic Equations with Morrey Data, with Dian K. Palagachev, Indiana University Mathematics Journal, Volume 62, Issue 5, Pages 1565-1585, 2013.
33. Weighted W1,p estimates for solutions of nonlinear parabolic equations over non-smooth domains, with Dian K. Palagachev and Seungjin Ryu, Bulletin of London Mathematical Society, Volume 45, Numbers 4, Pages 765-778, 2013.
32. Parabolic systems with measurable coefficients in Reifenberg domains, with Dian K. Palagachev and Lihe Wang, International Mathematics Research Notices, Volume 2013, Numbers 13, Pages 3053-3086, 2013.
31. Global gradient estimates for general nonlinear parabolic equations in nonsmooth domains, with Jihoon Ok, Seungjin Ryu, Journal of Differential Equations, Volume 254, Issue 11, Pages 4290-4326, 2013.
30. Global weighted estimates for the gradient of solutions to nonlinear elliptic equations, with Seungjin Ryu, Annales de l'Institut Henri Poincare / Analyse non lineaire, Volume 30, Issue 2, Pages 291-313, 2013.
29. Quasilinear elliptic equations with Morrey data, with Dian K. Palagachev, Comptes rendus de l'Academie bulgare des Sciences, Volume 66, Number 1, Pages 5-12, 2013.

2012

28. Nonlinear gradient estimates for elliptic equations of general type, with Lihe Wang, Calculus of Variations and Partial Differential Equations, Volume 45, Numbers 3-4, Pages 403-419, 2012.
27. Calderon-Zygmund theory for nonlinear elliptic problems with irregular obstacles, with Yumi Cho and Lihe Wang, Journal of Functional Analysis, Volume 263, Issue 10, Pages 3117-3143, 2012.
26. Lp-regularity for fourth order parabolic systems with measurable coefficients, with Lihe Wang, Mathematische Zeitschrift, Volume 272, Numbers 1-2, Pages 515-530, 2012.

2011

25. Gradient estimates in Orlicz spaces for nonlinear elliptic equations with BMO nonlinearity in nonsmooth domains, Forum Mathematicum, Volume 23, Issue 4, Pages 693-711, 2011.
24. Gradient estimates for higher order elliptic equations on nonsmooth domains, with Seungjin Ryu, Journal of Differential Equations, Volume 250, Issue 1, Pages 243-263, 2011.

2010

23. Elliptic equations with Measurable coefficients in Reifenberg domains, with Lihe Wang, Advances in Mathematics, Volume 225, Issue 5, Pages 2648-2673, 2010.
22. Orlicz regularity for higher order parabolic equations in divergence form with coefficients in weak BMO, with Seungjin Ryu, Archiv der Mathematik, Volume 95, Issue 2, Pages 179-190, 2010.
21. Gradient estimates for elliptic systems with measurable coefficients in nonsmooth domains, with Seungjin Ryu and Lihe Wang, Manuscripta Mathematica, Volume 133, Issue 1-2, Pages 225-245, 2010.
20. Global estimates in Orlicz spaces for the gradient of solutions to parabolic systems, with Seungjin Ryu, Proceeding of American Mathematical Society, Volume 138, Issue 2, Pages 641-653, 2010.

2009

19. Hessian estimates in Orlicz spaces for fourth-order parabolic systems in nonsmooth domains, Journal of Differential Equations, Volume 246, Issue 9, Pages 3518-3534, 2009.

2008

18. Gradient estimates in Orlicz space for nonlinear elliptic equations, with Shulin Zhou and Fengping Yao, Journal of Functional Analysis, Volume 255, Issue 8, Pages 1851-1873, 2008.
17. Fourth-order parabolic equations with weak BMO coefficients in Reifenberg domains, with Lihe Wang, Journal of Differential Equations, Volume 245, Number 11, pages 3217-3252, 2008.
16. Gradient estimates for elliptic systems in nonsmooth domains, with Lihe Wang, Mathematische Annalen, Volume 341, Number 3, Pages 629-650, 2008.
15. Elliptic equations with BMO nonlinearity in Reifenberg domains, with Lihe Wang, Advances in Mathematics, Volume 219, Number 6, Pages 1937-1971, 2008.
14. Parabolic equations with BMO nonlinearity in Reifenberg domains, with Lihe Wang, Journal Fur Die Reine Und Angewandte Mathematik (Crelles Journal), Volume 615, Pages 1-24, 2008.
13. W1,p regularity for conormal derivative problem with parabolic BMO nonlinearity in Reifenberg domains, with Lihe Wang, Discrete and Continuous Dynamical Systems-Series A, Volume 20, Number 3, Pages 617-637, 2008.

2007

12. Lp estimates for general nonlinear elliptic equations, with Lihe Wang, Indiana University Mathematics Journal, Volume 56, Issue 6, Pages 3193-3222, 2007.
11. Nonlinear elliptic equations with BMO coefficients in Reifenberg domains, with Lihe Wang and Shulin Zhou, Journal of Functional Analysis, Volume 20, Number 3, Pages 617-637, 2007.
10. Quasilinear elliptic equations with BMO coefficients in Lipschitz domains, with Lihe Wang, Transactions of American Mathematical Society, Volume 359, Number 12, Pages 5899-5913, 2007.
9. Optimal W1,p regularity theory for parabolic equations in divergence form, Journal of Evolution Equations, Volume 7, Number 3, Pages 415-428, 2007.
8. Parabolic equations in time dependent Reifenberg domains, with Lihe Wang, Advances in Mathematics, Volume 212, Issue 2, Pages 797-818, 2007.
7. Lp regularity theory for linear elliptic systems, with Hongbin Chen, Mijoung Kim and Lihe Wang, Discrete and Continuous Dynamical Systems-Series A, Volume 18, Number 1, Pages 121-134, 2007.

2005

6. Lp Estimates for Parabolic equations in Reifenberg domains, with Lihe Wang, Journal of Functional Analysis, Volume 223, Pages 44-85, 2005.
5. Parabolic equations in Reifenberg domains, with Lihe Wang, Archive for Rational Mechanics and Analysis, Volume 176, Pages 271-301, 2005.
4. Parabolic equations with BMO coefficients in Lipschitz domains, Journal of Differential Equations, Volume 209, Issue 2, Pages 229 - 265, 2005.
3. The conormal derivative problem for elliptic equations with BMO coefficients on Reifenberg flat domains, with Lihe Wang, Proceedings of London Mathematical Society (3), Volume 90, Issue 1, Pages 245 - 272, 2005.
2. Elliptic equations with BMO coefficients in Lipschitz domains, Transactions of American Mathematical Society, Volume 357, Number 3, Pages 1025 - 1046, 2005.

2004

1. Elliptic equations with BMO coefficients in Reifenberg domains, with Lihe Wang, Communications on Pure and Applied Mathematics, Volume 57, Issue 10, Pages 1283 - 1310, 2004.