Boundary Value Problems

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Radial solutions for a nonlocal boundary value problem

Boundary Value Problems20062006:32950

https://doi.org/10.1155/BVP/2006/32950

©  Enguiça and Sanchez 2006

Received: 23 August 2005

Accepted: 22 December 2005

Published: 8 June 2006

Abstract

We consider the boundary value problem for the nonlinear Poisson equation with a nonlocal term , . We prove the existence of a positive radial solution when grows linearly in , using Krasnoselskiiés fixed point theorem together with eigenvalue theory. In presence of upper and lower solutions, we consider monotone approximation to solutions.

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Authors’ Affiliations

(1)
Área Científica de Matemática, Instituto Superior de Engenharia de Lisboa, Rua Conselheiro Emídio Navarro
(2)
Faculdade de Ciências da Universidade de Lisboa

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Copyright

© Enguiça and Sanchez 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.