Positive solutions of elliptic and parabolic equations with convex-concave nonlinearities

被引：0

作者：

Dai, QY ^{[1
]}

Gu, YG ^{[1
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China

来源：

TOHOKU MATHEMATICAL JOURNAL | 2005年 / 57卷 / 03期

关键词：

elliptic equation; parabolic equation; quenching problem; Dirichlet problem; initial-boundary value problem; positive solution;

D O I：

10.2748/tmj/1128703005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider, respectively, the Dirichlet problem and the initial-boundary value problem of elliptic and parabolic equations with two power nonlinearities. We find that these problems are closely related to the so-called quenching problem. We obtain the existence and nonexistence of positive solutions to these problems on bounded and unbounded domains, by using the results of quenching problem and sub-super solution method.

引用

页码：427 / 445

页数：19

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