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
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.