Calculus of Variations and Geometric Measure Theory
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P. Bousquet - L. Brasco - C. Leone - A. Verde

On the Lipschitz character of orthotropic $p-$harmonic functions

created by brasco on 21 Apr 2017
modified on 07 Feb 2018


Submitted Paper

Inserted: 21 apr 2017
Last Updated: 7 feb 2018

Pages: 34
Year: 2017


We prove that local weak solutions of the orthotropic $p-$harmonic equation are locally Lipschitz, for every $p\ge 2$ 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.

Keywords: Degenerate elliptic equations, Lipschitz regularity, Anisotropic problems, orthotropic problems


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