Infinitely many solutions for a Kirchhoff-type problem with non-standard growth and indefinite weight

被引：8

作者：

Shen, Zifei ^{[1
]}

Qian, Chenyin ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 02期

关键词：

p(x)-Laplacian; Kirchhoff-type problem; Infinitely many solutions; POSITIVE SOLUTIONS; ELLIPTIC EQUATION; MULTIPLICITY; EXISTENCE;

D O I：

10.1007/s00033-014-0410-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of p(x)-Laplacian Kirchhoff-type problem with indefinite weight. Our method of proof is based on the variational principle and the properties of the generalized Lebesgue-Sobolev space. Applying the symmetric Mountain Pass Lemma and Fountain Theorem, we establish conditions such that the associated energy functional possesses infinitely many critical points and then we obtain infinitely many solutions.

引用

页码：399 / 415

页数：17

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