Three solutions for a Dirichlet boundary value problem involving the p-Laplacian

被引：36

作者：

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

Heidarkhani, S. ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 10期

关键词：

three solutions; critical point; multiplicity results; Dirichlet problem;

D O I：

10.1016/j.na.2006.03.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence of at least three weak solutions for the problem {Delta(p)u + lambda f(x, u) = a(x)vertical bar u vertical bar(p-2)u in Omega, {u = 0 on partial derivative Omega. Our main tool is a recent three critical points Theorem of B. Ricceri [On a three critical points theorem, Arch. Math. (Basel) 75 (2000) 220-2261. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：2281 / 2288

页数：8

共 7 条

[1] Infinitely many arbitrarily small positive solutions for the Dirichlet problem involving the p-Laplacian [J].