Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method-Reference-Cited by-同舟云学术

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Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method

Published:2012 Issue: Volume:2012 Page:1-16
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Cabada Alberto¹,Corrêa Francisco Julio S. A.²

Affiliation:

1. Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain

2. Unidade Acadêmica de Matemática e Estatística, Centro de Ciências e Tecnologia, Universidade Federal de Campina Grande, 58.109-979 Campina Grande, Brazil

Abstract

By means of the Galerkin method and by using a suitable version of the Brouwer fixed-point theorem, we establish the existence of at least one positive solution of a nonlocal ellipticN-dimensional system coupled with Dirichlet boundary conditions.

Funder

Fonds européen de développement régional

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/137379.pdf

Reference21 articles.

1. Existence of Solutions for Elliptic Systems with Nonlocal Terms in One Dimension

2. Linear and nonlinear nonlocal boundary value problems for differential-operator equations

3. Positivity of solutions of elliptic equations with nonlocal terms

4. A nonlocal Sturm–Liouville eigenvalue problem

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