Regularity results for a class of obstacle problems with nonstandard growth

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:444

Article

Ok, Jihoon¹ 

[1] Korea Inst Adv Study, Sch Math, Seoul 02455, South Korea

关键词: Nonstandard growth;    Obstacle problem;    Holder continuity;    Variable exponent;   

DOI  :  10.1016/j.jmaa.2016.06.070

来源: Elsevier

【 摘 要 】

We consider the obstacle problem related to the following energy with nonstandard growth integral(Omega)vertical bar Du vertical bar(p(x)) log(e vertical bar Du vertical bar) dx. We investigate the regularity properties of solutions to the obstacle problems along with a suitable assumptions on the variable exponent p(.) and the obstacle. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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