Hopf Lemma and regularity results for quasilinear anisotropic elliptic equations

被引：13

作者：

Castorina, Daniele ^{[1
]}

Riey, Giuseppe ^{[2
]}

Sciunzi, Berardino ^{[2
]}

机构：

[1] John Cabot Univ, Dept Math Comp Sci & Nat Sci, Via Lungara 233, I-00165 Rome, Italy

[2] Univ Calabria, Dipartimento Matemat & Informat, Ponte Pietro Bucci 31B, I-87036 Arcavacata Di Rende, CS, Italy

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 58卷 / 03期

关键词：

COMPARISON PRINCIPLES; POSITIVE SOLUTIONS; DEGENERATE; MONOTONICITY; MAXIMUM;

D O I：

10.1007/s00526-019-1528-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：18

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