Abstract
We prove that local weak solutions of the orthotropic -harmonic equation in are functions.
Citation
Pierre Bousquet. Lorenzo Brasco. "$C^1$ regularity of orthotropic $p$-harmonic functions in the plane." Anal. PDE 11 (4) 813 - 854, 2018. https://doi.org/10.2140/apde.2018.11.813
Information
Received: 31 August 2016; Revised: 30 August 2017; Accepted: 24 October 2017; Published: 2018
First available in Project Euclid: 1 February 2018
zbMATH: 06829998
MathSciNet: MR3749368
Digital Object Identifier: 10.2140/apde.2018.11.813
Subjects:
Primary:
35B65
,
49K20
,
49N60
Keywords:
degenerate and singular problems
,
regularity of minimizers
Rights: Copyright © 2018 Mathematical Sciences Publishers
