Open Access

Existence of a positive solution for a -Laplacian semipositone problem

Boundary Value Problems20052005:576572

Received: 30 September 2004

Published: 13 November 2005


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

Department of Mathematical Sciences, University of North Carolina at Greensboro
Department of Mathematics and Statistics, Mississippi State University


© Chhetri and Shivaji 2005