Positive solutions of Neumann problems with singularities

被引：23

作者：

Chu, Jifeng ^{[1
]}

Sun, Yigang ^{[1
]}

Chen, Hao ^{[2
]}

机构：

[1] Hohai Univ, Coll Sci, Dept Appl Math, Nanjing 210098, Peoples R China

[2] Army Command Coll, Dept 2, Nanjing 210045, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 337卷 / 02期

关键词：

positive solutions; Neumann boundary conditions; singular equations; Leray-Schauder alternative principle; truncation technique;

D O I：

10.1016/j.jmaa.2007.04.070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions to second order singular equations with Neumann boundary conditions. The proof of the main result relies on a nonlinear alternative principle of Leray-Schauder, together with a truncation technique. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1267 / 1272

页数：6

共 50 条

[31] Existence, nonexistence and multiplicity of positive solutions for nonlinear, nonhomogeneous Neumann problems
Nikolaos S. Papageorgiou
Francesca Papalini
manuscripta mathematica, 2017, 154 : 257 - 274
[32] Existence, nonexistence and multiplicity of positive solutions for nonlinear, nonhomogeneous Neumann problems
Papageorgiou, Nikolaos S.
Papalini, Francesca
MANUSCRIPTA MATHEMATICA, 2017, 154 (1-2) : 257 - 274
[33] MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF SEMIPOSITONE NEUMANN PROBLEMS WITH SINGULAR φ-LAPLACIAN
Ma, Ruyun
Gao, Hongliang
ACTA MATHEMATICA SCIENTIA, 2017, 37 (05) : 1472 - 1482
[34] BIFURCATION TYPE PHENOMENA FOR POSITIVE SOLUTIONS OF NONLINEAR NEUMANN EIGENVALUE PROBLEMS
Papageorgiou, Evgenia H.
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2014, 6 (03): : 335 - 351
[35] THREE NONTRIVIAL SOLUTIONS FOR NEUMANN PROBLEMS RESONANT AT ANY POSITIVE EIGENVALUE
Kyritsi, Sophia Th.
Papageorgiou, Nikolaos S.
MATEMATICHE, 2010, 65 (02): : 79 - 95
[36] Neumann boundary value problems with singularities in a phase variable
Agarwal R.P.
O'Regan D.
Staněk S.
aequationes mathematicae, 2005, 69 (3) : 293 - 308
[37] High energy positive solutions for mixed and Neumann elliptic problems with critical nonlinearity
Cerami, G
Passaseo, D
JOURNAL D ANALYSE MATHEMATIQUE, 1997, 71 (1): : 1 - 39
[38] EXISTENCE AND NONEXISTENCE OF POSITIVE RADIAL SOLUTIONS OF NEUMANN PROBLEMS WITH CRITICAL SOBOLEV EXPONENTS
ADIMURTHI
YADAVA, SL
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1991, 115 (03) : 275 - 296
[39] Three positive nonconstant radial solutions of nonlinear Neumann problems with indefinite weight
Chen, T.
Ma, R.
APPLICABLE ANALYSIS, 2023, 102 (04) : 1132 - 1143
[40] Multiplicity of positive solutions of superlinear semi-positone singular Neumann problems
Qiuyue Li
Fuzhong Cong
Zhe Li
Jinkai Lv
Boundary Value Problems, 2014 (1)

← 1 2 3 4 5 →