Existence and multiplicity of solutions for a class of superlinear p-Laplacian equations

被引：12

作者：

Wang, Juan ^{[1
]}

Tang, Chun-Lei ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Dept Math, Chongqing 400715, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2006年 / 2006卷 / 1期

关键词：

D O I：

10.1155/BVP/2006/47275

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By a variant version of mountain pass theorem, the existence and multiplicity of solutions are obtained for a class of superlinear p-Laplacian equations: -Delta(p)u = f(x, u). In this paper, we suppose neither f satisfies the superquadratic condition in Ambrosetti-Rabinowitz sense nor f(x, t)/vertical bar t vertical bar(p-1) is nondecreasing with respect to vertical bar t vertical bar. Copyright (C) 2006.

引用

页数：12

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