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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.

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Correspondence to Maya Chhetri.

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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