Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent

被引：53

作者：

Bonanno, Gabriele ^{[1
]}

Chinni, Antonia ^{[1
]}

机构：

[1] Univ Messina, Dept Civil Informat Technol Construct Environm En, I-98166 Messina, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 418卷 / 02期

关键词：

p(x)-Laplacian; Variable exponent Sobolev spaces; COMPACT EMBEDDINGS; P(X)-LAPLACIAN; SPACES; THEOREM;

D O I：

10.1016/j.jmaa.2014.04.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under appropriate growth conditions on the nonlinearity, the existence of multiple solutions for nonlinear elliptic Dirichlet problems with variable exponent is established. The approach is based on variational methods. Some applications and examples illustrate the obtained results. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：812 / 827

页数：16

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