Regularity for Quasi-Linear p-Laplacian Type Non-Homogeneous Equations in the Heisenberg Group

被引：2

作者：

Yu, Chengwei ^{[1
]}

机构：

[1] Beihang Univ, Sch Math Sci, Xueyuan Rd 37, Beijing 100191, Peoples R China

来源：

MATHEMATICS | 2022年 / 10卷 / 21期

关键词：

p-Laplacian type; non-homogeneous equations; Heisenberg group; regularities; Riesz potentials; C-1; C-ALPHA-REGULARITY;

D O I：

10.3390/math10214129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

When 2 - 1/Q < p <= 2, we establish the C(loc)(0,1 )and C-loc(1,alpha)-regularities of weak solutions to quasi-linear p-Laplacian type non-homogeneous equations in the Heisenberg group H-n, where Q = 2n + 2 is the homogeneous dimension of H-n.

引用

页数：22

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