Some Multiplicity Results to the Existence of Three Solutions for a Dirichlet Boundary Value Problem Involving the p-Laplacian

被引：3

作者：

Heidarkhani, Shapour ^{[1
,2
]}

Afrouzi, Ghasem Alizadeh ^{[3
]}

机构：

[1] Razi Univ, Kermanshah 67149, Iran

[2] Inst Res Fundamental Sci, Tehran, Iran

[3] Univ Mazandaran, Babol Sar 474161467, Iran

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2011年 / 16卷 / 03期

关键词：

three solutions; critical point; variational methods; multiplicity results; Dirichlet problem; CRITICAL-POINTS THEOREM; POSITIVE SOLUTIONS; UNIQUENESS;

D O I：

10.3846/13926292.2011.601770

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the existence of two intervals of positive real parameters lambda for a Dirichlet boundary value problem involving the p-Laplacian which admit three weak solutions, whose norms are uniformly bounded with respect to lambda belonging to one of the two intervals. Our main tool is a three critical points theorem due to G. Bonanno [A critical points theorem and nonlinear differential problems, J. Global Optim., 28:249-258, 2004].

引用

页码：390 / 400

页数：11

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