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Boundary Value Problems
Boundary Value Problems Cover Image
  • Research Article
  • Open Access

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:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Point Theorem

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Authors’ Affiliations

(1)
Área Científica de Matemática, Instituto Superior de Engenharia de Lisboa, Rua Conselheiro Emídio Navarro, Lisboa, 1-1950-062, Portugal
(2)
Faculdade de Ciências da Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa, 1649-003, Portugal

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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.

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