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.
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页数：12
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