Holder regularity for the gradients of solutions of the strong p(x)-Laplacian

被引：21

作者：

Zhang, Chao ^{[1
]}

Zhou, Shulin ^{[2
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] Peking Univ, LMAM, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 389卷 / 02期

关键词：

Non-standard growth; Variable exponent; Strong p(x)-Laplacian; Regularity; VARIABLE EXPONENT; ELLIPTIC-EQUATIONS; SPACES; FUNCTIONALS;

D O I：

10.1016/j.jmaa.2011.12.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under some assumptions on the continuous function p(x) > 1, we obtain the local C-1,C-alpha regularity of solutions of the strong p(x)-Laplacian -div(vertical bar del u vertical bar(p(x)-2)del u) + vertical bar del u vertical bar(p(x)-2)log(vertical bar del u vertical bar)del u . del p = 0 by using the integral estimates in Campanato spaces. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1066 / 1077

页数：12

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