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.
Uniqueness of the critical point for solutions of some p-Laplace equations in the plane
Borrelli, W;Mosconi, S;Squassina, M
2023-01-01
Abstract
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.File in questo prodotto:
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StricConcavityrev.pdf
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