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

共 50 条

[1] POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS
SIMPSON, RB
COHEN, DS
[J]. JOURNAL OF MATHEMATICS AND MECHANICS, 1970, 19 (10): : 895 - &
[2] POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS
KUIPER, HJ
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (02): : A315 - A316
[3] Existence of Positive Solutions for Nonlinear Eigenvalue Problems
Wang, Sheng-Ping
Wong, Fu-Hsiang
Kung, Fan-Kai
[J]. BOUNDARY VALUE PROBLEMS, 2010,
[4] Existence of Positive Solutions for Nonlinear Eigenvalue Problems
Sheng-Ping Wang
Fu-Hsiang Wong
Fan-Kai Kung
[J]. Boundary Value Problems, 2010
[5] ON THE EXISTENCE OF MULTIPLE ORDERED SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS
DEFIGUEIREDO, DG
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (04) : 481 - 492
[6] Positive solutions of a class of nonlinear elliptic eigenvalue problems
Zhaoli Liu
[J]. Mathematische Zeitschrift, 2002, 242 : 663 - 686
[7] Positive solutions of a class of nonlinear elliptic eigenvalue problems
Liu, ZL
[J]. MATHEMATISCHE ZEITSCHRIFT, 2002, 242 (04) : 663 - 686
[8] On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems
Nobuyoshi Fukagai
Kimiaki Narukawa
[J]. Annali di Matematica Pura ed Applicata, 2007, 186 : 539 - 564
[9] On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems
Fukagai, Nobuyoshi
Narukawa, Kimiaki
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2007, 186 (03) : 539 - 564
[10] Existence of positive solutions for two nonlinear eigenvalue problems
Rhouma, Nedra Belhaj
Maatoug, Lamia
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2003,

← 1 2 3 4 5 →