Skip to main content
  • Research Article
  • Open access
  • Published:

Existence of a positive solution for a-Laplacian semipositone problem

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Maya Chhetri.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Chhetri, M., Shivaji, R. Existence of a positive solution for a-Laplacian semipositone problem. Bound Value Probl 2005, 576572 (2005). https://doi.org/10.1155/BVP.2005.323

Download citation

  • Received:

  • Revised:

  • Published:

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