Hopf Lemma and regularity results for quasilinear anisotropic elliptic equations

2018/10/30 by Castorina, Daniele, Riey, Giuseppe, Sciunzi, Berardino · 3 citations
#35B06 #35B33 #35J92 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.12688

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.

Cited by

• The Ambrosetti-Prodi problem for anisotropic p-Laplacian
• Second-order boundary estimates for solutions to a class of quasilinear elliptic equations
• Weak comparison principle for widely degenerate elliptic equations

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