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

被引：3

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.

引用

页码：379 / 390

页数：12

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