Regularity results of the thin obstacle problem for the p(x)-Laplacian

被引：9
|
作者：
Byun, Sun-Sig [1 ,2 ]
Lee, Ki-Ahm [1 ,3 ]
Oh, Jehan [1 ]
Park, Jinwan [1 ]
机构：
[1] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea
[3] Korea Inst Adv Study, Ctr Math Challenges, Seoul 02455, South Korea
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2019年 / 276卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Regularity; p(x)-Laplacian; Thin obstacle problem; Variable exponent; POROUS-MEDIUM EQUATION; VARIABLE EXPONENT; FUNCTIONALS; SPACES; BOUNDARY; GRADIENT;
D O I：
10.1016/j.jfa.2018.06.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study thin obstacle problems involving the energy functional with p(x)-growth. We prove higher integrability and Holder regularity for the gradient of minimizers of the thin obstacle problems under the assumption that the variable exponent p(x) is Holder continuous. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：496 / 519
页数：24
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