Boundary weak Harnack estimates and regularity for elliptic PDE in divergence form

被引：2
|
作者：
Rendon, Fiorella [1 ]
Sirakov, Boyan [1 ]
Soares, Mayra [2 ]
机构：
[1] Pontificia Univ Catolica Rio de Janeiro PUC Rio, Dept Matemat, BR-22451900 Rio De Janeiro, RJ, Brazil
[2] Univ Brasilia UnB, Dept Matemat, Inst Cent Ciencias, Campus Darci Ribeiro, BR-70910900 Brasilia, DF, Brazil
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 235卷
关键词：
Elliptic equations; Boundary regularity; Weak Harnack inequality; Hopf lemma; Divergence form; Krylov boundary estimate; VISCOSITY SOLUTIONS; INEQUALITIES; OPERATORS; EQUATIONS; BEHAVIOR; LEMMA; C-1;
D O I：
10.1016/j.na.2023.113331
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain a global extension of the classical weak Harnack inequality which ex-tends and quantifies the Hopf-Oleinik boundary-point lemma, for uniformly elliptic equations in divergence form. Among the consequences is a boundary gradient estimate, due to Krylov and well-studied for non-divergence form equations, but completely novel in the divergence framework. Another consequence is a new more general version of the Hopf-Oleinik lemma. & COPY; 2023 Published by Elsevier Ltd.
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页数：13
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