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

  • Changyu GUO ,
  • Changlin XIANG ,
  • Gaofeng ZHENG
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  • 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
Changyu GUO, E-mail : changyu.guo@sdu.edu.cn; Gaofeng ZHENG, E-mail : gfzheng@ccnu.edu.cn

Received date: 2023-10-08

  Revised date: 2024-06-03

  Online published: 2024-12-06

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.

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.

Cite this article

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 . DOI: 10.1007/s10473-024-0604-2

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