Calculus of Variations and Geometric Measure Theory
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D. Castorina - G. Riey - B. Sciunzi

Hopf Lemma and regularity results for quasilinear anisotropic elliptic equations

created by castorina on 31 Oct 2018
modified on 19 Mar 2019


Accepted Paper

Inserted: 31 oct 2018
Last Updated: 19 mar 2019

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

ArXiv: 1810.12688 PDF


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.

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