MULTIPLE POSITIVE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS OF p(x)-LAPLACIAN TYPE WITH SIGN-CHANGING NONLINEARITY

被引：0

作者：

Ho, K. Y. ^{[1
]}

Kim, Chan-Gyun ^{[2
]}

Sim, Inbo ^{[1
]}

机构：

[1] Univ Ulsan, Dept Math, Ulsan 680749, South Korea

[2] Pusan Natl Univ, Dept Math Educ, Pusan 609735, South Korea

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

基金：

新加坡国家研究基金会;

关键词：

p(x)-Laplacian; variable exponent; sign-changing nonlinearity; positive solutions; multiplicity; SOBOLEV EMBEDDINGS; VARIABLE EXPONENT;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish sufficient conditions for the existence of multiple positive solutions to nonautonomous quasilinear elliptic equations with p(x)-Laplacian and sign-changing nonlinearity. For solving the Dirichlet boundary-value problem we use variational and topological methods. The nonexistence of positive solutions is also studied.

引用

页数：12

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