International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 364085, 25 pages
Research Article

On the Existence of Solutions of a Nonlocal Elliptic Equation with a p-Kirchhoff-Type Term

Francisco Julio S. A. Corrêa1 and Rúbia G. Nascimento2

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.


Questions on the existence of positive solutions for the following class of elliptic problems are studied: [M(u1,pp)]1,pΔpu=f(x,u), in Ω, u=0, on Ω, where ΩN is a bounded smooth domain, f:Ω¯×+ and M:+,+=[0,) are given functions.