A Neumann boundary value problem for the Sturm-Liouville equation

被引：38

作者：

Bonanno, Gabriele ^{[1
]}

D'Agui, Giuseppina ^{[2
]}

机构：

[1] Univ Messina, Fac Engn, Math Sect, Dept Sci Engn & Architecture, I-98166 Messina, Italy

[2] Univ Messina, Dept Math, I-98166 Messina, Italy

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 208卷 / 02期

关键词：

Neumann problem; Sturm-Liouville equation; Multiple solutions; NONLINEAR ELLIPTIC-EQUATIONS; P-LAPLACIAN; DISCONTINUOUS NONLINEARITIES; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.amc.2008.12.029

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 infinitely many solutions to a Neumann boundary value problem for the Sturm-Liouville equation. Results of the existence of three solutions are also established. The approach is based on multiple critical points theorems. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：318 / 327

页数：10

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