POSITIVE SOLUTIONS FOR ROBIN PROBLEMS WITH GENERAL POTENTIAL AND LOGISTIC REACTION

被引：7

作者：

Hu, Shouchuan ^{[1
,2
]}

Papageorgiou, Nikolaos S. ^{[3
]}

机构：

[1] Shandong Normal Univ, Coll Math, Jinan, Shandong, Peoples R China

[2] Missouri State Univ, Dept Math, Springfield, MO 65804 USA

[3] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2016年 / 15卷 / 06期

关键词：

Indefinite and unbounded potential; semilinear equation; superdiffusive reaction; bifurcation-type theorem; positive solution; Robin problem; DEGENERATE ELLIPTIC EQUATION; NEUMANN PROBLEMS; MULTIPLE SOLUTIONS; DIRICHLET PROBLEMS; INDEFINITE; EXISTENCE; BIFURCATION; SIGN; DIFFUSION;

D O I：

10.3934/cpaa.2016046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a semilinear Robin problem driven by the negative Laplacian plus an indefinite and unbounded potential and a superdiffusive lotistic-type reaction. We prove bifurcation results describing the dependence of the set of positive solutions on the parameter of the problem. We also establish the existence of extreme positive solutions and determine their properties.

引用

页码：2489 / 2507

页数：19

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