Holder Continuity of the Minimizer of an Obstacle Problem with Generalized Orlicz Growth

被引：6

作者：

Karppinen, Arttu ^{[1
]}

Lee, Mikyoung ^{[2
]}

机构：

[1] Univ Turku, Dept Math & Stat, FI-20014 Turku, Finland

[2] Pusan Natl Univ, Dept Math, Busan 46241, South Korea

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2022年 / 2022卷 / 19期

基金：

新加坡国家研究基金会;

关键词：

ELLIPTIC-EQUATIONS; FULL C-1; C-ALPHA-REGULARITY; NONAUTONOMOUS FUNCTIONALS; REGULARITY; GRADIENT; INTEGRALS;

D O I：

10.1093/imrn/rnab150

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove local C-0,C-alpha - and C-1,C-alpha-regularity for the local solution to an obstacle problem with nonstandard growth. These results cover as special cases standard, variable exponent, double phase, and Orlicz growth.

引用

页码：15313 / 15354

页数：42

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