On the eigenvalues of weighted p(x)-Laplacian on RN

被引：14

作者：

Benouhiba, Nawel ^{[1
]}

机构：

[1] Badji Mokhtar Univ, Dept Math, El Hadjar Annaba 23000, Algeria

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 01期

关键词：

p(x)-Laplacian operator; Variable exponent Lebesgue-Sobolev space; Eigenvalue; Electrorheological fluids; SOBOLEV EMBEDDINGS; GENERALIZED LEBESGUE; SPACES;

D O I：

10.1016/j.na.2010.08.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper, following the theory of partial differential equations on variable exponent Sobolev spaces, is mainly concerned with the p(x)-Laplacian eigenvalue problem with a weight function on R-N. The results show that the spectrum of such problems contains a continuous family of eigenvalues. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：235 / 243

页数：9

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