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Existence of a positive solution for a-Laplacian semipositone problem

Boundary Value Problems volume 2005, Article number: 576572 (2005) Cite this article

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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of North Carolina at Greensboro, NC, 27402, USA

    Maya Chhetri

  2. Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS, 39762, USA

    R Shivaji

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  1. Maya Chhetri
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  2. R Shivaji
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Correspondence to Maya Chhetri.

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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.

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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

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