Global regularity and stability of solutions to obstacle problems with nonstandard growth

被引：29
作者：
Eleuteri, Michela [1 ]
Harjulehto, Petteri [2 ]
Lukkari, Teemu [3 ]
机构：
[1] Univ Verona, I-37134 Verona, Italy
[2] Univ Turku, Dept Math, Turku 20014, Finland
[3] Univ Jyvaskyla, Dept Math & Stat, Jyvaskyla 40014, Finland
来源：
REVISTA MATEMATICA COMPLUTENSE | 2013年 / 26卷 / 01期
基金：
芬兰科学院;
关键词：
Obstacle problem; Nonstandard growth; Global higher integrability; Boundary regularity; Stability; NONLINEAR ELLIPTIC-EQUATIONS; VARIABLE EXPONENT; SOBOLEV SPACES; FUNCTIONALS; BOUNDARY;
D O I：
10.1007/s13163-011-0088-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the regularity properties of solutions to the single and double obstacle problem with non standard growth. Our main results are a global reverse Holder inequality, Holder continuity up to the boundary, and stability of solutions with respect to continuous perturbations in the variable growth exponent.
引用
收藏
页码：147 / 181
页数：35
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