Critical point theory for nonsmooth functionals

被引：20
|
作者：
Liu, Jiaquan
Guo, Yuxia [1 ]
机构：
[1] Tsing Hua Univ, Dept Math, Beijing 100084, Peoples R China
[2] Beijing Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 12期
基金：
中国国家自然科学基金;
关键词：
nonsmooth functional; deformation lemmas; quasilinear equations;
D O I：
10.1016/j.na.2006.04.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we develop critical point theory for nonsmooth functional f : H-0(1) (Omega) -> R defined by [GRAPHICS] The corresponding deformation lemmas are proved. With the application to the bifurcation for quasilinear Schrodinger equations in mind, we extend the obtained results to that for a functional defined on a product space and prove a generalized saddle point theorem. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2731 / 2741
页数：11
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