Solvability of Neumann problem for elliptic equations at resonance

被引：27
|
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 | 2001年 / 44卷 / 03期
关键词：
Neumann problem; resonance; the Saddle Point Theorem; critical point; the Sobolev's embedding theorem; Poincare inequality;
D O I：
10.1016/S0362-546X(99)00266-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Neumann boundary value problems (1) are analyzed in the case both k = 1 and >1. A new solvability condition by using the minimax methods in the critical point theory is obtained. The main results are presented where Theorem 1 deals with the case k = 1. Theorems 2 and 3 deal with the case k>1.
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页码：323 / 335
页数：13
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