BUBBLING ANALYSIS FOR A NONLINEAR DIRAC EQUATION ON SURFACES

Youmin CHEN; Lei LIU; Miaomiao ZHU

doi:10.1007/s10473-024-0601-5

Acta mathematica scientia, Series B >

2024 , Vol. 44 >Issue 6: 2073 - 2082

DOI: https://doi.org/10.1007/s10473-024-0601-5

BUBBLING ANALYSIS FOR A NONLINEAR DIRAC EQUATION ON SURFACES

Youmin CHEN ,
Lei LIU ,
Miaomiao ZHU

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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

Youmin CHEN, E-mail:youminchen@stu.edu.cn; Miaomiao ZHU, E-mail: mizhu@sjtu.edu.cn

Received date: 2023-08-29

Revised date: 2024-07-26

Online published: 2024-12-06

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).

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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

Cite this article

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 . DOI: 10.1007/s10473-024-0601-5

References

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