On the existence of positive solutions of an elliptic boundary value problem

被引：2
|
作者：
Liu, ZL
Li, FY
机构：
[1] Shandong Univ, Dept Math, Jinan 250100, Peoples R China
[2] Shanxi Univ, Dept Math, Taiyuan 030006, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2000年 / 21卷 / 04期
关键词：
superlinear elliptic BVP; positive solution; variational method; gradient flow;
D O I：
10.1142/S0252959900000492
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using variational method, the authors get an existence result for positive solutions of a superlinear elliptic boundary value problem without assuming the P.S. condition. To prove the results in this paper, the authors adopt the method of gradient flow and use a new class of truncation functions.
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页码：499 / 510
页数：12
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