Uniqueness of the critical point for solutions of some p-Laplace equations in the plane
William R. Borrelli, Sunra Mosconi, Marco Squassina · Rendiconti Lincei Matematica e Applicazioni · 2023
We prove that quasi-concave positive solutions to a class of quasi-linear elliptic equations driven by the p -Laplacian in convex bounded domains of the plane have only one critical point. As a consequence, we obtain strict concavity results for suitable transformations of these solutions.