Gradient regularity for nonlinear sub-elliptic systems with the drift term: sub-quadratic growth case

被引：0

作者：

Chen, Beibei ^{[1
]}

Wang, Jialin ^{[1
]}

Liao, Dongni ^{[1
]}

机构：

[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Peoples R China

来源：

AIMS MATHEMATICS | 2025年 / 10卷 / 01期

基金：

中国国家自然科学基金;

关键词：

gradient regularity; Dini continuous coe ffi cient; Heisenberg group; drift term; sub-quadratic growth; QUASI-LINEAR EQUATIONS; HYPOELLIPTIC-OPERATORS; OPTIMAL INTERIOR; MINIMIZERS;

D O I：

10.3934/math.2025065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper focuses on nonlinear sub-elliptic systems with drift terms in divergence form, under Dini continuity conditions, where the growth rate satisfies 2Q/Q+2 < m < 2, and Q represents the homogeneous dimension in the Heisenberg group. By generalizing the A-harmonic approximation technique to accommodate sub-quadratic growth, we establish the C 1 regularity associated with the horizontal gradient of weak solutions away from a negligible set.

引用

页码：1407 / 1437

页数：31

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