Date | 2019-10-25 |
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Speaker | 이미경 |

Dept. | 부산대학교 |

Room | 129-104 |

Time | 16:00-18:00 |

The approach using the large-M-inequality principle introduced by Acerbi and Mingione has been broadly used in W1, p-regularity theory for nonlinear equations in divergence form. We apply this approach to determine an alternative proof of the local W2,p-estimate for viscosity solutions to the fully nonlinear equations. Using this method, we derive weighted Hessian estimates in variable exponent spaces for the viscosity solutions when nonlinearity F is assumed to be asymptotically convex.

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