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
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
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页码:812 / 827
页数:16
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