Existence and multiplicity of solutions for a p(x)-Kirchhoff type equation

被引：9

作者：

Afrouzi, G. A. ^{[1
]}

Mirzapour, M. ^{[2
]}

Chung, N. T. ^{[3
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[2] Farhangian Univ, Fac Math Sci, Dept Math, Tehran, Iran

[3] Quang Binh Univ, Dept Sci Management & Int Cooperat, 312 Ly Thuong Kiet, Dong Hoi, Quang Binh, Vietnam

来源：

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2016年 / 136卷

关键词：

Kirchhoff type problems; p(x)-Kirchhoff type; boundary value problem; mountain pass theorem; dual fountain theorem; ELLIPTIC EQUATION; KIRCHHOFF-TYPE;

D O I：

10.4171/RSMUP/136-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence and multiplicity to p(x)-Kirchhoff type problem of the following form { -M (integral(Omega) 1/p(x) vertical bar del u vertical bar(p(x)) dx)div(vertical bar del u vertical bar(p(x)-2)del u) = f(x, u) in Omega, u = 0 on partial derivative Omega. By means of a direct variational approach and the theory of the variable exponent Sobolev spaces, we establish conditions ensuring the existence and multiplicity of solutions for the problem.

引用

页码：95 / 109

页数：15

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