Multiplicity of solutions for p(x)-polyharmonic elliptic Kirchhoff equations

被引：231
|
作者：
Colasuonno, Francesca [1 ,2 ]
Pucci, Patrizia [1 ]
机构：
[1] Univ Perugia, Dipartimento Matemat & Informat, Via Vanvitelli 1, I-06123 Perugia, Italy
[2] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 17期
关键词：
p(x)-polyharmonic Kirchhoff equations; Existence of multiple solutions; Symmetric mountain pass theorems; SOBOLEV SPACES; GENERALIZED LEBESGUE; POSITIVE SOLUTIONS; EXISTENCE; EMBEDDINGS; P(X)-LAPLACIAN;
D O I：
10.1016/j.na.2011.05.073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we establish the existence of an unbounded sequence of solutions for a class of quasilinear elliptic p(x)-polyharmonic Kirchhoff equations, including the new delicate degenerate case, not yet covered in the literature. The main tool is the symmetric mountain pass theorem of Ambrosetti and Rabinowitz. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：5962 / 5974
页数：13
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