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Radial solutions for a nonlocal boundary value problem
Boundary Value Problems volume 2006, Article number: 32950 (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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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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DOI: https://doi.org/10.1155/BVP/2006/32950
Keywords
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Equation
- Point Theorem