EIGENVALUE PROBLEMS FOR p(x)-KIRCHHOFF TYPE EQUATIONS

被引：0

作者：

Afrouzi, Ghasem A. ^{[1
]}

Mirzapour, Maryam ^{[1
]}

机构：

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

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

p(x)-Kirchhoff type equations; variational methods; boundary value problems; KIRCHHOFF; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the nonlocal p(x)-Laplacian problem -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) = lambda vertical bar u vertical bar q((x)) (2)u in Omega, u = 0 on partial derivative Omega, By means of variational methods and the theory of the variable exponent Sobolev spaces, we establish conditions for the existence of weak solutions.

引用

页数：10

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