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

页码：2731 / 2741

页数：11

共 13 条

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