Heisenberg群上不连续次椭圆问题的正则性

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英文篇名：Regularity for Sub-elliptic Systems with VMO-coefficients in the Heisenberg Group 作者：廖强 ; 王家林 ; 廖冬妮 ; 杨强 英文作者：LIAO Qiang;WANG Jialin;LIAO Dongni;YANG Qiang;School of Mathematics and Computer Science,Gannan Normal University; 关键词：H?lder连续性 ; Heisenberg群 ; VMO系数 ; 次椭圆方程组 英文关键词：H?lder continuity;;Heisenberg group;;VMO-coefficient;;sub-elliptic system 中文刊名：GNSY 英文刊名：Journal of Gannan Normal University 机构：赣南师范大学数学与计算机科学学院; 出版日期：2018-04-25 11:20 出版单位：赣南师范大学学报 年：2018 期：v.39;No.226 基金：国家自然科学基金资助项目(11661006);; 江西省自然科学基金资助项目(20161BAB201032);; 江西省教育厅科技计划项目(GJJ160954);; 江西省研究生创新基金资助项目(Yc2017-S389) 语种：中文; 页：GNSY201803002 页数：7 CN：03 ISSN：36-1346/C 分类号：7-13

摘要

考虑Heisenberg群上具有VMO系数的非线性次椭圆方程组,利用A-调和逼近技巧建立其弱解的H?lder连续性.
        We consider nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group and prove a H?lder continuity result for weak solutions using the generalization of A-harmonic approximation.

引文

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