On the Existence of Infinite Sequences of Ordered Positive Solutions of Nonlinear Elliptic Eigenvalue Problems

被引：2

作者：

Correa, Francisco Julio S. A. ^{[1
]}

Carvalho, Marcos L. M. ^{[2
]}

Goncalves, Jose Valdo A. ^{[2
]}

Silva, Kaye O. ^{[2
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429900 Campina Grande, PB, Brazil

[2] Univ Fed Goias, Inst Matemat & Estat, BR-74001970 Goiania, Go, Brazil

来源：

ADVANCED NONLINEAR STUDIES | 2016年 / 16卷 / 03期

关键词：

Elliptic Equations; Variational Methods; Degree Theory; Multiple Solutions;

D O I：

10.1515/ans-2015-5035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we employ minimization arguments and topological degree theory for mappings of type S+ to prove the existence of infinite sequences of ordered solutions for a class of nonlinear equations in which the semilinear term vanishes an infinite number of times. Our results extend earlier ones by Hess [10] and by Loc and Schmitt [15].

引用

页码：439 / 458

页数：20

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