Three non-zero solutions for a nonlinear eigenvalue problem

被引：4

作者：

Faraci, Francesca ^{[1
]}

Kristaly, Alexandru ^{[2
]}

机构：

[1] Univ Catania, Dept Math, Catania, Italy

[2] Univ Babes Bolyai, Dept Econ, R-3400 Cluj Napoca, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 394卷 / 01期

关键词：

Nonlinear eigenvalue problem; Dirichlet boundary conditions; Multiple solutions; CRITICAL-POINTS THEOREM; ELLIPTIC-EQUATIONS; EXACT MULTIPLICITY; DIRICHLET PROBLEM; P-LAPLACIAN;

D O I：

10.1016/j.jmaa.2012.04.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper we prove a novel multiplicity result for a model quasilinear Dirichlet problem (P-lambda) depending on a positive parameter lambda. By a variational method, we prove that for every lambda > 1 problem (P-lambda) has at least two non-zero solutions, while there exists (lambda) over cap > 1 such that problem (P-(lambda) over cap) has at least three non-zero solutions. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：225 / 230

页数：6

共 14 条

[1]

Averna D., 2003, Topol. Meth. Nonl. Anal., V22, P93

[2] Some remarks on a three critical points theorem [J].