A uniqueness result for infinite semipositone p-Laplacian problems in a ball

Abstract

We prove the uniqueness of positive radial solutions to a class of singular p-Laplacian equations in a ball with Dirichlet boundary condition when a parameter is large. The reaction term exhibits infinite semipositone structure at zero and is not necessarily increasing or concave on $(0,\mathrm{\infty }).$

Keywords:

• Uniqueness
• infinite semipositone
• p-Laplacian
• positive solutions

AMS SUBJECT CLASSIFICATIONS:

• 34B16
• 34B18
• 35J62

Disclosure statement

No potential conflict of interest was reported by the author(s).