Existence of Weak Solutions for A Class of Nonuniformly Nonlinear Elliptic Equations of p-Laplacian Type

被引：0

作者：

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

Naghizadeh, Z. ^{[1
]}

Mirzadeh, E. ^{[2
]}

Amirian, M. ^{[2
]}

机构：

[1] Univ Mazandaran, Babol Sar, Iran

[2] Islamic Azad Univ, Ghaemshahr Branch, Ghaemshahr, Iran

来源：

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2011年 / 2卷 / 01期

关键词：

Elliptic equations; Mountain pass theorem; Weak solution;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The goal of this paper is to study the existence of non-trivial weak solutions for the nonuniformly nonlinear elliptic equation in an unbounded domain. The solution will be obtained in a subspace of the Sobolev space and the proofs rely essentially on a variation of the mountain pass theorem.

引用

页码：21 / 28

页数：8

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