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

Abstract

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

42 pages

Cited by in corpus (2)

• Regularity for multi-phase problems at nearly linear growth
• Local and global $C^{1,\beta }$-regularity for uniformly elliptic quasilinear equations of $p$-Laplace and Orlicz-Laplace type