Calculus of Variations and Geometric Measure Theory

P. Bousquet - L. Brasco

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

created by brasco on 15 Jul 2016
modified on 11 Nov 2026

[BibTeX]

Accepted Paper
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Inserted: 15 jul 2016
Last Updated: 11 nov 2026

Journal: Anal. PDE
Pages: 42
Year: 2016

Abstract:

We prove that local weak solutions of the orthotropic $p-$harmonic equation in $\mathbb{R}^2$ are $C^1$ functions.

Keywords: regularity of minimizers, Degenerate and singular problems


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