Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions

被引：39
作者：
Harjulehto, Petteri [1 ]
Hasto, Peter [1 ,2 ]
Karppinen, Arttu [1 ]
机构：
[1] Univ Turku, Dept Math & Stat, FI-20014 Turku, Finland
[2] Univ Oulu, Dept Math, FI-90014 Oulu, Finland
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2018年 / 177卷
关键词：
Dirichlet energy integral; Minimizer; Local minimizer; NONSTANDARD GROWTH; REGULARITY; SPACES; FUNCTIONALS;
D O I：
10.1016/j.na.2017.09.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study local quasiminimizers of the Dirichlet energy under generalized growth conditions. Special cases include standard, variable exponent and double phase growths. We show that the gradient of a local quasiminimizer has local higher integrability. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：543 / 552
页数：10
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