Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method

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 elliptic N-dimensional system coupled with Dirichlet boundary conditions.

Bibliographic Details
Main Authors: Alberto Cabada, Francisco Julio S. A. Corrêa
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/137379