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Radial solutions for a nonlocal boundary value problem

Boundary Value Problems volume 2006, Article number: 32950 (2006) Cite this article

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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Author information

Affiliations

  1. Área Científica de Matemática, Instituto Superior de Engenharia de Lisboa, Rua Conselheiro Emídio Navarro, Lisboa, 1-1950-062, Portugal

    Ricardo Enguiça

  2. Faculdade de Ciências da Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa, 1649-003, Portugal

    Luís Sanchez

Authors
  1. Ricardo Enguiça
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  2. Luís Sanchez
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Correspondence to Luís Sanchez.

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Enguiça, R., Sanchez, L. Radial solutions for a nonlocal boundary value problem. Bound Value Probl 2006, 32950 (2006). https://doi.org/10.1155/BVP/2006/32950

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Keywords

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