Sobolev spaces with variable exponents on Riemannian manifolds

被引：18

作者：

Gaczkowski, Michal ^{[1
]}

Gorka, Przemyslaw ^{[1
]}

机构：

[1] Warsaw Univ Technol, Dept Math & Informat Sci, Ul Koszykowa 75, PL-00662 Warsaw, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 92卷

关键词：

Lebesgue spaces with variable exponents; Sobolev spaces; Riemannian manifolds; EMBEDDINGS; LEBESGUE; INEQUALITIES;

D O I：

10.1016/j.na.2013.06.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study variable exponent Sobolev spaces on Riemannian manifolds. The spaces are examined in the case of compact manifolds. Continuous and compact embeddings are discussed. The paper contains an example of the application of the theory to elliptic equations on compact manifolds. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：47 / 59

页数：13

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