BUBBLING ANALYSIS FOR A NONLINEAR DIRAC EQUATION ON SURFACES

doi:10.1007/s10473-024-0601-5

数学物理学报(英文版) ›› 2024, Vol. 44 ›› Issue (6): 2073-2082.doi: 10.1007/s10473-024-0601-5

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BUBBLING ANALYSIS FOR A NONLINEAR DIRAC EQUATION ON SURFACES

Youmin CHEN¹, Lei LIU^2,†, Miaomiao ZHU³

1. Department of Mathematics, Shantou University, Shantou 515063, China;
2. School of Mathematics and Statistics and Hubei Key Laboratory of Mathematical Sciences Central China Normal University, Wuhan 430079, China;
3. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China

收稿日期:2023-08-29 修回日期:2024-07-26 发布日期:2024-12-06
通讯作者: † Lei LIU, E-mail: leiliu2020@ccnu.edu.cn
作者简介:Youmin CHEN, E-mail:youminchen@stu.edu.cn; Miaomiao ZHU, E-mail: mizhu@sjtu.edu.cn
基金资助:
Innovation Program of Shanghai Municipal Education Commission (2021-01-07-00-02-E00087), the National Natural Science Foundation of China (12171314) and the Shanghai Frontier Science Center of Modern Analysis. This work was partially carried out when Youmin Chen was a Wen-Tsun Wu postdoc at the School of Mathematical Sciences, Shanghai Jiao Tong University and he would like to thank the institution for hospitality and financial support. Youmin Chen's research was also partially supported by STU Scientific Research Initiation Grant (NTF23034T). Lei Liu's research was supported in part by the National Natural Science Foundation of China (12101255).

BUBBLING ANALYSIS FOR A NONLINEAR DIRAC EQUATION ON SURFACES

Youmin CHEN¹, Lei LIU^2,†, Miaomiao ZHU³

1. Department of Mathematics, Shantou University, Shantou 515063, China;
2. School of Mathematics and Statistics and Hubei Key Laboratory of Mathematical Sciences Central China Normal University, Wuhan 430079, China;
3. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China

Received:2023-08-29 Revised:2024-07-26 Published:2024-12-06
Contact: † Lei LIU, E-mail: leiliu2020@ccnu.edu.cn
About author:Youmin CHEN, E-mail:youminchen@stu.edu.cn; Miaomiao ZHU, E-mail: mizhu@sjtu.edu.cn
Supported by:
Innovation Program of Shanghai Municipal Education Commission (2021-01-07-00-02-E00087), the National Natural Science Foundation of China (12171314) and the Shanghai Frontier Science Center of Modern Analysis. This work was partially carried out when Youmin Chen was a Wen-Tsun Wu postdoc at the School of Mathematical Sciences, Shanghai Jiao Tong University and he would like to thank the institution for hospitality and financial support. Youmin Chen's research was also partially supported by STU Scientific Research Initiation Grant (NTF23034T). Lei Liu's research was supported in part by the National Natural Science Foundation of China (12101255).

摘要/Abstract

摘要： In this paper, we apply the three circle type method and a Hardy type inequality to a nonlinear Dirac type equation on surfaces, and provide alternative proofs to the energy quantization results.

关键词: nonlinear Dirac equation, energy identity, three circle method, Hardy inequality

Abstract: In this paper, we apply the three circle type method and a Hardy type inequality to a nonlinear Dirac type equation on surfaces, and provide alternative proofs to the energy quantization results.

Key words: nonlinear Dirac equation, energy identity, three circle method, Hardy inequality

中图分类号:

58J05

Youmin CHEN, Lei LIU, Miaomiao ZHU. BUBBLING ANALYSIS FOR A NONLINEAR DIRAC EQUATION ON SURFACES[J]. 数学物理学报(英文版), 2024, 44(6): 2073-2082.

Youmin CHEN, Lei LIU, Miaomiao ZHU. BUBBLING ANALYSIS FOR A NONLINEAR DIRAC EQUATION ON SURFACES[J]. Acta mathematica scientia,Series B, 2024, 44(6): 2073-2082.

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BUBBLING ANALYSIS FOR A NONLINEAR DIRAC EQUATION ON SURFACES

BUBBLING ANALYSIS FOR A NONLINEAR DIRAC EQUATION ON SURFACES

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