Open Access

Radial solutions for a nonlocal boundary value problem

Boundary Value Problems20062006:32950

DOI: 10.1155/BVP/2006/32950

Received: 23 August 2005

Accepted: 22 December 2005

Published: 8 June 2006


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.


Authors’ Affiliations

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


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© Enguiça and Sanchez 2006

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