Existence of a positive solution for a-Laplacian semipositone problem

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.

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

Corresponding author

Correspondence to Maya Chhetri.

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