Multiple critical points theorems without the Palais-Smale condition

[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.

[发布日期] 2004-11-15

[关键词] critical point;multiple solutions;two point boundary value problem;p-Laplacian