|Date||Nov 02, 2021|
※ 장소: 상산관 101호
Regularity issues of variational problems originated from Hilbert's 19th problem are one of the central topics in the calculus of variations and partial di erential equations. In this talk, I will discuss a brief historical progress and celebrated works by Ennio De Giorgi and John Nash the so-called De Giorgi-Nash-Moser regularity theory. After that, I will provide some signi cant examples of non-autonomous functionals with nonstandard growth conditions and arguments for leading to the gradient Holder regularity of minimizers.