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

被引：33
|
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.
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页码：2281 / 2288
页数：8
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