Vol. 11, No. 4, 2018

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$C^1$ regularity of orthotropic $p$-harmonic functions in the plane

Pierre Bousquet and Lorenzo Brasco

Vol. 11 (2018), No. 4, 813–854
Abstract

We prove that local weak solutions of the orthotropic p-harmonic equation in 2 are C1 functions.

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Keywords
degenerate and singular problems, regularity of minimizers
Mathematical Subject Classification 2010
Primary: 49N60, 49K20, 35B65
Milestones
Received: 31 August 2016
Revised: 30 August 2017
Accepted: 24 October 2017
Published: 12 January 2018
Authors
Pierre Bousquet
Institut de Mathématiques de Toulouse, CNRS UMR 5219
Université de Toulouse
Toulouse
France
Lorenzo Brasco
Dipartimento di Matematica e Informatica
Università degli Studi di Ferrara
Ferrara
Italy
Institut de Mathématiques de Marseille
Aix-Marseille Université
Marseille
France