On the Existence of Infinite Sequences of Ordered Positive Solutions of Nonlinear Elliptic Eigenvalue Problems-Reference-Cited by-同舟云学术

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

Published:2016-04-13 Issue:3 Volume:16 Page:439-458
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Corrêa Francisco Júlio S. A.¹,Carvalho Marcos L. M.²,Gonçalves José Valdo A.²,Silva Kaye O.²

Affiliation:

1. Unidade Acadêmica de Matemática, Universidade Federal de Campina Grande, 58.429-900 Campina Grande, PB, Brazil

2. Instituto de Matemática e Estatística, Universidade Federal de Goiás, 74001-970 Goiânia, GO, Brasil

Abstract

Abstract In this work, we employ minimization arguments and topological degree theory for mappings of type S +

${S_{+}}$

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].

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2015-5035/pdf

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