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).
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页码：427 / 466
页数：40
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