EXISTENCE OF POSITIVE SOLUTIONS FOR A SUPERLINEAR ELLIPTIC SYSTEM WITH NEUMANN BOUNDARY CONDITION

被引：0

作者：

Cardeno, Juan C. ^{[1
]}

Castro, Alfonso ^{[2
]}

机构：

[1] Univ Ibague, Fac Ciencias Nat & Matemat, Ibague, Tolima, Colombia

[2] Harvey Mudd Coll, Dept Math, Claremont, CA 91711 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Semilinear elliptic system; a priori estimates; ordered Banach space; contraction-expansion operator; Neumann boundary condition;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a positive solution for a class of nonlinear elliptic systems with Neumann boundary conditions. The proof combines extensive use of a priori estimates for elliptic problems with Neumann boundary condition and Krasnoselskii's compression-expansion theorem.

引用

页码：23 / 30

页数：8

共 50 条

[1] The Existence of Solutions of Elliptic Equations with Neumann Boundary Condition for Superlinear Problems
Li, Chong
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2004, 20 (06) : 965 - 976
[2] The Existence of Solutions of Elliptic Equations with Neumann Boundary Condition for Superlinear Problems
Chong LI
Acta Mathematica Sinica(English Series), 2004, 20 (06) : 965 - 976
[3] The Existence of Solutions of Elliptic Equations with Neumann Boundary Condition for Superlinear Problems
Chong Li
Acta Mathematica Sinica, 2004, 20 : 965 - 976
[4] Multiple positive solutions for a superlinear elliptic problem in R2 with a sublinear Neumann boundary condition
Prashanth, S.
Sreenadh, K.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (04) : 1246 - 1254
[5] An existence result for a linear-superlinear elliptic system with Neumann boundary conditions
Massa, Eugenio
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 322 (01) : 403 - 419
[6] Multiple existence of solutions for a semilinear elliptic problem with Neumann boundary condition
Hirano, N
Kim, WS
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (01) : 210 - 218
[7] Existence of positive solutions to a superlinear elliptic problem
Alves, C. O.
Miyagaki, O. H.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2001,
[8] Existence of positive solutions of superlinear second-order Neumann boundary value problem
Li Zhilong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (06) : 3216 - 3221
[9] Existence and approximation of solutions for a class of degenerate elliptic equations with Neumann boundary condition
Cavalheiro, Albo Carlos
NOTE DI MATEMATICA, 2020, 40 (02): : 63 - 81
[10] Existence of positive solutions on indefinite superlinear elliptic equations
Afrouzi, GA
APPLIED MATHEMATICS AND COMPUTATION, 2004, 157 (03) : 841 - 848

← 1 2 3 4 5 →