Heisenberg群上带漂移项的次椭圆方程组弱解的正则性  

Regularity of Weak Solutions to Sub-elliptic Systems with the Drift Term on the Heisenberg Group

作　　者：段国强 廖冬妮[1] 朱彦 DUAN Guoqiang;LIAO Dongni;ZHU Yan(School of Mathematics and Computer Science,Gannan Normal University,Ganzhou 341000,China)

机构地区：[1]赣南师范大学数学与计算机科学学院,江西赣州341000

出　　处：《赣南师范大学学报》2023年第6期11-16,共6页Journal of Gannan Normal University

基　　金：国家自然科学基金资助项目(12061010);江西省教育厅科技计划项目(GJJ2201204)。

摘　　要：本文研究Heisenberg群上带漂移项的散度型非线性次椭圆方程组弱解的正则性,利用A-调和逼近技巧,建立了方程组弱解的最优部分H?lder正则性.This paper is focuses on regularities of weak solutions to nonlinear sub-elliptic systems in divergence form on the Heisenberg groups.Based on the technique of A-harmonic approximation,the optimal partial H lder regularity for the weak solution is established.

关 键 词：HEISENBERG群 H?lder连续 漂移项 最优部分正则性 

分 类 号：O175.25[理学—数学]