Compact Sobolev embedding theorems involving symmetry and its application

被引：9

作者：

Gao, Juanjuan ^{[1
]}

Zhao, Peihao ^{[1
]}

Zhang, Yong ^{[2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

[2] Chizhou Univ, Dept Math & Comp Sci, Chizhou 247000, Peoples R China

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2010年 / 17卷 / 02期

关键词：

Sobolev embedding; Cylindrical symmetry; p(x)-Laplacian; Weak solution; P(X)-LAPLACIAN EQUATIONS; VARIABLE EXPONENT; SPACES; EXISTENCE; PRINCIPLE;

D O I：

10.1007/s00030-009-0046-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a bounded regular domain with cylindrical symmetry, functions having such symmetry and belonging to W (1,p) can be embedded compactly into some weighted L (q) spaces, with q superior to the critical Sobolev exponent. A similar result is also obtained for variable exponent Sobolev space W (1,p(x)). Furthermore, we give a simple application to the p(x)-Laplacian problem.

引用

页码：161 / 180

页数：20

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