On the Lipschitz character of orthotropic $p-$harmonic functions
Analysis of PDEs
2018-02-08 v2
Abstract
We prove that local weak solutions of the orthotropic harmonic equation are locally Lipschitz, for every 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.
Cite
@article{arxiv.1708.09739,
title = {On the Lipschitz character of orthotropic $p-$harmonic functions},
author = {Pierre Bousquet and Lorenzo Brasco and Chiara Leone and Anna Verde},
journal= {arXiv preprint arXiv:1708.09739},
year = {2018}
}
Comments
34 pages