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

doi:10.1007/s10473-024-0604-2

数学物理学报(英文版) ›› 2024, Vol. 44 ›› Issue (6): 2111-2124.doi: 10.1007/s10473-024-0604-2

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

Changyu GUO^1,2, Changlin XIANG^3,†, Gaofeng ZHENG⁴

1. Research Center for Mathematics 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

收稿日期:2023-10-08 修回日期:2024-06-03 发布日期:2024-12-06
通讯作者: † Changlin XIANG, E-mail : changlin.xiang@ctgu.edu.cn
作者简介:Changyu GUO, E-mail : changyu.guo@sdu.edu.cn; Gaofeng ZHENG, E-mail : gfzheng@ccnu.edu.cn
基金资助:
Guo's research was supported by the Young Scientist Program of the Ministry of Science and Technology of China (2021YFA1002200), the National Natural Science Foundation of China (12101362) and the Natural Science Foundation of Shandong Province (ZR2021QA003). Xiang's research was supported by the National Natural Science Foundation of China (12271296) and the Natural Science Foundation of Hubei Province (2024AFA061). Zheng's research was supported by the National Natural Science Foundation of China (11571131) and the Open Research Fund of Key Laboratory of Nonlinear Analysis & Applications (Central China Normal University), Ministry of Education, P. R. China.

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

Changyu GUO^1,2, Changlin XIANG^3,†, Gaofeng ZHENG⁴

1. Research Center for Mathematics 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

Received:2023-10-08 Revised:2024-06-03 Published:2024-12-06
Contact: † Changlin XIANG, E-mail : changlin.xiang@ctgu.edu.cn
About author:Changyu GUO, E-mail : changyu.guo@sdu.edu.cn; Gaofeng ZHENG, E-mail : gfzheng@ccnu.edu.cn
Supported by:
Guo's research was supported by the Young Scientist Program of the Ministry of Science and Technology of China (2021YFA1002200), the National Natural Science Foundation of China (12101362) and the Natural Science Foundation of Shandong Province (ZR2021QA003). Xiang's research was supported by the National Natural Science Foundation of China (12271296) and the Natural Science Foundation of Hubei Province (2024AFA061). Zheng's research was supported by the National Natural Science Foundation of China (11571131) and the Open Research Fund of Key Laboratory of Nonlinear Analysis & Applications (Central China Normal University), Ministry of Education, P. R. China.

摘要/Abstract

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

Abstract: 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.

Key words: conservation law, Uhlenbeck's gauge transform, even order elliptic system, antisymmetric potential, weak compactness

中图分类号:

58E20

Changyu GUO, Changlin XIANG, Gaofeng ZHENG. REFINED CONSERVATION LAW FOR AN EVEN ORDER ELLIPTIC SYSTEM WITH ANTISYMMETRIC POTENTIAL[J]. 数学物理学报(英文版), 2024, 44(6): 2111-2124.

Changyu GUO, Changlin XIANG, Gaofeng ZHENG. REFINED CONSERVATION LAW FOR AN EVEN ORDER ELLIPTIC SYSTEM WITH ANTISYMMETRIC POTENTIAL[J]. Acta mathematica scientia,Series B, 2024, 44(6): 2111-2124.

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

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

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