JournalsrlmVol. 34, No. 1pp. 61–88

Uniqueness of the critical point for solutions of some p-Laplace equations in the plane

  • William Borrelli

    Università Cattolica del Sacro Cuore, Brescia, Italy

  • Sunra J.N. Mosconi

    Università degli Studi di Catania, Italy

  • Marco Squassina

    Università Cattolica del Sacro Cuore, Brescia, Italy
Uniqueness of the critical point for solutions of some p-Laplace equations in the plane cover
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Abstract

We prove that quasi-concave positive solutions to a class of quasi-linear elliptic equations driven by the -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.

Cite this article

William Borrelli, Sunra J.N. Mosconi, Marco Squassina, Uniqueness of the critical point for solutions of some p-Laplace equations in the plane. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 1, pp. 61–88

DOI 10.4171/RLM/997