C1,α-Regularity for p-Harmonic Functions in SU(3)

被引：0

作者：

Yu, Chengwei ^{[1
]}

机构：

[1] China Fire & Rescue Inst, Dept Basic, Beijing 102202, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 37卷 / 04期

基金：

中国国家自然科学基金;

关键词：

p-Laplacian equation; C-1; C-alpha-regularity; SU(3); Caccioppoli inequality; De Giorgi; p-harmonic function; REGULARITY;

D O I：

10.4208/jpde.v37.n4.5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This artical concerns the C-loc(1,alpha)-regularity of weak solutions u to the degenerate subelliptic p-Laplacian equation Delta(H,p)u(x) = Sigma(6)(i=1) X-i*(|del(H)u|(p-2) X(i)u) = 0, where H is the orthogonal complement of a Cartan subalgebra in SU(3) with the orthonormal basis composed of the vector fields X-1, ... , X-6 . When 1 < p < 2, we prove that del(H)u is an element of C-loc(alpha).

引用

页码：427 / 466

页数：40

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