Removable singularities for degenerate elliptic Pucci operator on the Heisenberg group

被引：2
|
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
收藏
页码：177 / 190
页数：14
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