The inhomogeneous boundary Harnack principle for fully nonlinear and p-Laplace equations

被引：3

作者：

Allen, Mark ^{[1
]}

Kriventsov, Dennis ^{[2
]}

Shahgholian, Henrik ^{[3
]}

机构：

[1] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

[2] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

[3] KTH Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2023年 / 40卷 / 01期

关键词：

Nonlinear equations; p-Laplace equations; HARMONIC-FUNCTIONS; MARTIN BOUNDARY; LIPSCHITZ; BEHAVIOR;

D O I：

10.4171/AIHPC/40

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a boundary Harnack principle in Lipschitz domains with small constant for fully nonlinear and p-Laplace-type equations with a right-hand side, as well as for the Laplace equa-tion on nontangentially accessible domains under extra conditions. The approach is completely new and gives a systematic approach for proving similar results for a variety of equations and geometries.

引用

页码：133 / 156

页数：24