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.

引用

页数：13

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