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  • Research Article
  • Open Access

Existence of a positive solution for a -Laplacian semipositone problem

Boundary Value Problems20052005:576572

  • Received: 30 September 2004
  • Published:


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, NC 27402, USA
Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA


© Chhetri and Shivaji 2005