Hopf Lemma and regularity results for quasilinear anisotropic elliptic equations

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, generaliz...

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Bibliographic Details
Published inCalculus of variations and partial differential equations Vol. 58; no. 3; pp. 1 - 18
Main Authors Castorina, Daniele, Riey, Giuseppe, Sciunzi, Berardino
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2019
Springer Nature B.V
Subjects
Analysis
Anisotropy
Calculus of Variations and Optimal Control; Optimization
Computer vision
Continuum mechanics
Control
Elliptic functions
Laplace equation
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Regularity
Systems Theory
Theoretical
35B06
35J92
35B33
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ISSN0944-2669
1432-0835
DOI10.1007/s00526-019-1528-x

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Summary: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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ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-019-1528-x