Radial solutions for a nonlocal boundary value problem

被引：8

作者：

Enguica, Ricardo

Sanchez, Luis

机构：

[1] Inst Super Engn Lisboa, Area Cient Matemat, P-1950062 Lisbon, Portugal

[2] Univ Lisbon, Fac Ciencias, P-1649003 Lisbon, Portugal

来源：

BOUNDARY VALUE PROBLEMS | 2006年 / 2006卷 / 1期

关键词：

D O I：

10.1155/BVP/2006/32950

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the boundary value problem for the nonlinear Poisson equation with a nonlocal term - Delta u = f (u, integral(U) g(u)), u|(partial derivative U) = 0. We prove the existence of a positive radial solution when f grows linearly in u, using Krasnoselskii's fixed point theorem together with eigenvalue theory. In presence of upper and lower solutions, we consider monotone approximation to solutions.

引用

页数：18

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