Regularity for solutions of fully nonlinear elliptic equations with nonhomogeneous degeneracy

被引：15

作者：

De Filippis, Cristiana ^{[1
]}

机构：

[1] Univ Oxford, Cristiana De Filippis Math Inst, Radcliffe Observ Quarter, Andrew Wiles Bldg,Woodstock Rd, Oxford OX26GG, England

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2021年 / 151卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Fully nonlinear degenerate equations; Double phase problems; Regularity; VISCOSITY SOLUTIONS; MINIMIZERS;

D O I：

10.1017/prm.2020.5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that viscosity solutions to fully nonlinear elliptic equations with degeneracy of double phase type are locally C-1,C- gamma-regular.

引用

页码：110 / 132

页数：23

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