Multiple solutions of Neumann problem for elliptic equations

被引：16
|
作者：
Tang, CL [1 ]
机构：
[1] SW Normal Univ, Dept Math, Chongqing 400715, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 54卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Neumann problem; unbounded nonlinearity; reduction method; resonance; Sobolev's inequality;
D O I：
10.1016/S0362-546X(03)00091-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The multiplicity results are obtained for solutions of the Neumann problem for nonlinear elliptic equations at resonance or nonresonance with unbounded nonlinearity by the reduction method and the critical point theory, in particular, a three-critical-point theorem proposed by Brezis-Nirenberg. (C) 2003 Elsevier Science Ltd. All rights reserved.
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页码：637 / 650
页数：14
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