Multiple critical points theorems without the Palais-Smale condition

被引：26
作者：
Bonanno, G [1 ]
机构：
[1] Univ Reggio Calabria, Fac Ingn, Dipartimento Informat Matemat Elettron & Trasport, I-89100 Reggio Di Calabria, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 299卷 / 02期
关键词：
critical point; multiple solutions; two point boundary value problem; p-Laplacian;
D O I：
10.1016/j.jmaa.2004.06.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper multiple critical points theorems, where the Palais-Smale condition on the functional is not requested, are presented. As an application, multiple solutions for a quasilinear two point boundary value problem involving the one-dimensional p-Laplacian are obtained. (C) 2004 Elsevier Inc. All rights reserved.
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收藏
页码：600 / 614
页数：15
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