- Research Article
- Open Access
Radial solutions for a nonlocal boundary value problem
- Ricardo Enguiça1 and
- Luís Sanchez2Email author
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.
Keywords
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Equation
- Point Theorem
Authors’ Affiliations
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Copyright
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.
