Removable singularities for degenerate elliptic Pucci operator on the Heisenberg group

被引：1

作者：

Wang, Bo ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 160卷

关键词：

Heisenberg group; Degenerate elliptic Pucci operator; Capacity; Polar set; Removability; PARTIAL-DIFFERENTIAL-EQUATIONS; VISCOSITY SOLUTIONS; MAXIMUM PRINCIPLE;

D O I：

10.1016/j.na.2017.05.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study viscosity solutions to a class of degenerate elliptic Pucci operators modelled on the Heisenberg group, where the second order term is obtained by a composition of degenerate elliptic Pucci operator with the degenerate Heisenberg Hessian matrix. We study and answer the question: Which compact sets have the property that each viscosity subsolution outside this set, which is bounded below, can be extended to a viscosity subsolution on this set. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：177 / 190

页数：14

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