HWloc 2,2 -regularity for p-harmonic functions in Heisenberg groups

被引：2
|
作者：
Liu, Jiayin [2 ]
Peng, Fa [2 ]
Zhou, Yuan [1 ]
机构：
[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
[2] Beihang Univ, Dept Math, Beijing 100191, Peoples R China
来源：
ADVANCES IN CALCULUS OF VARIATIONS | 2021年
关键词：
p-harmonic function; Heisenberg group; Sobolev regularity; C-1; C-ALPHA-REGULARITY; EQUATIONS;
D O I：
10.1515/acv-2021-0026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let 1 < p <= 4 when n = 1, and 1 < p < 3 + 1/n-1 when n >= 2. We obtain the second-order horizontal Sobolev HWloc (2,2) -regularity of p-harmonic functions in the Heisenberg group Hn. This improves the known range of p obtained by Domokos and Manfredi in 2005.
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页码：379 / 390
页数：12
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