International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 364085, 25 pages
doi:10.1155/2008/364085
Research Article
On the Existence of Solutions of a Nonlocal Elliptic Equation with a p-Kirchhoff-Type Term
1Unidade Acadêmica de Matemática e Estatística, Centro de Ciências Tecnologia, Universidade Federal de Campina Grande, 58.109-970, Campina Grande, PB, Brazil
2Campus do Baixo Tocantins, Universidade Federal do Pará, 68.440-000 Abaetetuba, PA, Brazil
Received 28 May 2008; Accepted 30 September 2008
Academic Editor: Irena Lasiecka
Copyright © 2008 Francisco Julio S. A. Corrêa and Rúbia G. Nascimento. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Questions on the existence of positive
solutions for the following class of elliptic problems are studied: −[M(‖u‖1,pp)]1,pΔpu=f(x,u), in Ω, u=0, on ∂Ω, where Ω⊂ℝN is a bounded smooth domain, f:Ω¯×ℝ+→ℝ and M:ℝ+→ℝ, ℝ+=[0,∞) are given functions.