Perturbation effects in nonlinear eigenvalue problems

被引：6

作者：

Radulescu, Vicentiu ^{[1
,2
]}

Repovs, Dusan ^{[3
,4
]}

机构：

[1] Acad Romana, Inst Math Simion Stoilow, Bucharest, Romania

[2] Univ Craiova, Dept Math, Craiova 200585, Romania

[3] Univ Ljubljana, Fac Math & Phys, Ljubljana 1001, Slovenia

[4] Univ Ljubljana, Fac Educ, Ljubljana 1001, Slovenia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 08期

关键词：

Logistic equation; Nonlinear eigenvalue problem; Positive entire solution; Spectrum; Anisotropic potential; Perturbation; Population dynamics; EQUATIONS;

D O I：

10.1016/j.na.2008.12.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the complete bifurcation diagram for a class of nonlinear problems on the whole space. Our model corresponds to a class of semilinear elliptic equations with logistic type nonlinearity and absorption. Since this problem arises in population dynamics or in fishery or hunting management, we are interested only in situations allowing the existence of positive solutions. The proofs combine elliptic estimates with the method of sub- and super-solutions. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3030 / 3038

页数：9

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