Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent

被引：12

作者：

Fang, Yuzhou ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

Zhang, Chao ^{[1
,4
]}

机构：

[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China

[2] AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland

[3] Univ Craiova, Dept Math, Craiova 200585, Romania

[4] Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2021年 / 53卷 / 06期

基金：

中国国家自然科学基金;

关键词：

FUNCTIONALS; INEQUALITY; CALCULUS;

D O I：

10.1112/blms.12550

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the fully nonlinear equation with variable-exponent double phase type degeneracies [vertical bar Du vertical bar(p(x)) + a(x)vertical bar Du vertical bar(q(x))]F(D(2)u) = f(x). Under some appropriate assumptions, by making use of geometric tangential methods and combing a refined improvement-of-flatness approach with compactness and scaling techniques, we obtain the sharp local C-1,C-alpha regularity of viscosity solutions to such equations.

引用

页码：1863 / 1878

页数：16

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