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arxiv: 1810.12688 · v2 · pith:2CHXC3RZnew · submitted 2018-10-30 · 🧮 math.AP

Hopf Lemma and regularity results for quasilinear anisotropic elliptic equations

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keywords equationsanisotropicelliptichopflemmaregularityresultsapplications
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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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