REFINED CONSERVATION LAW FOR AN EVEN ORDER ELLIPTIC SYSTEM WITH ANTISYMMETRIC POTENTIAL  

作　　者：Changyu GUO Changlin XIANG Gaofeng ZHENG 郭常予;向长林;郑高峰(Research Center for Mathermatics and Interdisciplinary Sciences,Shandong University,Qingdao 266237,China;Department of Physics and Mathematics,University of Eastern Finland,Joensuu 80101,Finland;Three Gorges Mathematical Research Center,China Three Gorges University,Yichang 443002,China;School of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China)

机构地区：[1]Research Center for Mathermatics and Interdisciplinary Sciences,Shandong University,Qingdao 266237,China [2]Department of Physics and Mathematics,University of Eastern Finland,Joensuu 80101,Finland [3]Three Gorges Mathematical Research Center,China Three Gorges University,Yichang 443002,China [4]School of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China

出　　处：《Acta Mathematica Scientia》2024年第6期2111-2124,共14页数学物理学报（B辑英文版）

基　　金：supported by the Young Scientist Program of the Ministry of Science and Technology of China(2021YFA1002200);the National Natural Science Foundation of China(12101362);the Natural Science Foundation of Shandong Province(ZR2021QA003);supported by the National Natural Science Foundation of China(12271296);the Natural Science Foundation of Hubei Province(2024AFA061);supported by the National Natural Science Foundation of China(11571131);the Open Research Fund of Key Laboratory of Nonlinear Analysis&Applications(Central China Normal University),Ministry of Education,P.R.China。

摘　　要：Conservation law plays a very important role in many geometric variational problems and related elliptic systems.In this note,we refine the conservation law obtained by Lamm-Rivière for fourth order systems and de Longueville-Gastel for general even order systems.

关 键 词：conservation law Uhlenbeck's gauge transform even order elliptic system antisymmetric potential weak compactness 

分 类 号：O175.2[理学—数学]