On the Lipschitz character of orthotropic <Emphasis Type="Italic">p</Emphasis>-harmonic functions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On the Lipschitz character of orthotropic p-harmonic functions

Authors:	P.?Bousquet,L.?Brasco,C.?Leone author-information" > author-information__contact u-icon-before" > mailto:chiara.leone@unina.it" title=" chiara.leone@unina.it" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,A.?Verde

Affiliation:	1.Institut de Mathématiques de Toulouse, CNRS UMR 5219,Université de Toulouse,Toulouse Cedex 9,France;2.Dipartimento di Matematica e Informatica,Università degli Studi di Ferrara,Ferrara,Italy;3.CNRS, Centrale Marseille, I2M, UMR 7373, 39 Rue Frédéric Joliot Curie,Aix-Marseille Université,Marseille,France;4.Dipartimento di Matematica “R. Caccioppoli”,Università degli Studi di Napoli “Federico II”,Naples,Italy

Abstract:	We prove that local weak solutions of the orthotropic p-harmonic equation are locally Lipschitz, for every (pge 2) and in every dimension. More generally, the result holds true for more degenerate equations with orthotropic structure, with right-hand sides in suitable Sobolev spaces.

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