Existence of positive radial solutions for a superlinear semipositone p-Laplacian problem on the exterior of a ball. Issue 2 (21st March 2018) - Morris, Quinn
Abstract : We prove the existence of positive radial solutions to a class of semipositone p -Laplacian problems on the exterior of a ball subject to Dirichlet and nonlinear boundary conditions. Using variational methods we prove the existence of a solution, and then use a priori estimates to prove the positivity of the solution.