Abstract and Applied Analysis
Volume 2006 (2006), Article ID 27969, 14 pages
On a singular sublinear polyharmonic problem
Département de Mathematiques, Faculté des Sciences de Tunis, Campus Universitaire, Tunis 1060, Tunisia
Received 27 June 2005; Accepted 5 September 2005
Copyright © 2006 Sonia Ben Othman. 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.
This paper deals with a class of singular nonlinear polyharmonic
equations on the unit ball in where the combined effects of a singular and a sublinear term
allow us by using the Schauder fixed point theorem to establish an
existence result for the following problem: in (in the sense of distributions), , . Our approach is based on estimates
for the polyharmonic Green function on with zero Dirichlet boundary conditions.