Accepted Paper

Inserted: 31 oct 2018
Last Updated: 19 mar 2019

Journal: Calculus of Variations and Partial Differential Equations
Year: 2018

Abstract:

We consider a class of quasi-linear anisotropic elliptic equations, possibly degenerate or singular, which are of interest in several applications such as computer vision and continuum mechanics. We prove a Hopf Lemma as well as local and global regularity estimates for positive solutions, generalizing previous results known in the context of p-Laplacian equations.