Boundary Value Problems 
Volume 2006 (2006), Article ID 79679, 10 pages
doi:10.1155/BVP/2006/79679

On the existence of positive solution for an elliptic equation of Kirchhoff type via Moser iteration method

Francisco Júlio S. A. Corrêa and Giovany M. Figueiredo

 Departamento de Matemática-CCEN, Universidade Federal do Pará, Belém-Pará 66.075-110, Brazil
Received 18 November 2005; Revised 11 April 2006; Accepted 18 April 2006

Dedicated to our dear friend and collaborator Professor Claudianor O. Alves

Abstract

We investigate the questions of existence of positive solution for the nonlocal problem −μ(‖u‖2)Δu=f(λ,u) in Ω and u=0 on ∂Ω, where Ω is a bounded smooth domain of ℝN, and M and f are continuous functions.