Existence Results for a p(x)-Kirchhoff-Type Equation without Ambrosetti- Rabinowitz Condition

被引：0

作者：

Wang, Libo ^{[1
,2
]}

Pei, Minghe ^{[2
]}

机构：

[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

[2] Beihua Univ, Dept Math, Jilin 132013, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2013年

基金：

中国国家自然科学基金;

关键词：

KIRCHHOFF-TYPE PROBLEMS; POSITIVE SOLUTIONS; VARIABLE EXPONENT; P(X)-LAPLACIAN PROBLEMS; NONTRIVIAL SOLUTIONS; DIRICHLET PROBLEMS; MULTIPLICITY; THEOREMS; SPACES;

D O I：

10.1155/2013/914210

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the existence and multiplicity of solutions for the p(x)- Kirchhoff-type equations without Ambrosetti-Rabinowitz condition. Using the Mountain Pass Lemma, the Fountain Theorem, and its dual, the existence of solutions and infinitely many solutions were obtained, respectively.

引用

页数：8

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