Abstract and Applied Analysis
Volume 2006 (2006), Article ID 70692, 5 pages
doi:10.1155/AAA/2006/70692
An existence result for a semipositone problem with a sign changing weight
Department of Mathematics, Mississippi State University, Mississippi State 39762, MS, USA
Received 5 March 2005; Accepted 5 September 2005
Copyright © 2006 Jaffar Ali and R. Shivaji. 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
We establish an existence result on positive solution for a class
of reaction-diffusion equation with semipositone structure. In
particular, our results apply to the diffusive logistic equation
with a class of sign changing weight and constant yield
harvesting. We establish the result via the method of subsuper
solutions.