Open Access

Existence of a positive solution for a -Laplacian semipositone problem

Boundary Value Problems20052005:576572

https://doi.org/10.1155/BVP.2005.323

Received: 30 September 2004

Published: 13 November 2005

Abstract

We consider the boundary value problem in satisfying on , where on , is a parameter, is a bounded domain in with boundary , and for . Here, is a nondecreasing function for some satisfying (semipositone). We establish a range of for which the above problem has a positive solution when satisfies certain additional conditions. We employ the method of subsuper solutions to obtain the result.

Authors’ Affiliations

(1)
Department of Mathematical Sciences, University of North Carolina at Greensboro
(2)
Department of Mathematics and Statistics, Mississippi State University

Copyright

© Chhetri and Shivaji 2005