Positive solutions for a Dirichlet problem

被引：0
|
作者：
Zhou Huansong
机构：
[1] Chinese Academy of Sciences,Wuhan Institute of Physics and Mathematics
来源：
Acta Mathematicae Applicatae Sinica | 2001年 / 17卷 / 3期
关键词：
Positive solution; Dirichlet problem; mountain pass;
D O I：
10.1007/BF02677378
中图分类号：
学科分类号：
摘要：
In this paper, we study a nonlinear Dirichlet problem on a smooth bounded domain, in which the nonlinear term is asymptotically linear, not superlinear, at infinity and sublinear near the origin. By using Mountain Pass Theorem, we prove that there exist at least two positive solutions under suitable assumptions on the nonlinearity.
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页码：340 / 349
页数：9
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