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Multi-bubbling condensates for the Maxwell-Chern-Simons model

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Abstract

We consider the elliptic system problems arising from the Maxwell-Chern-Simons model. In this system, there are two important parameters related to Chern-Simons mass scale and electric charge. Under almost optimal conditions on these two parameters, we show the existence of nontopological condensates with magnetic field concentrated at multi-bubbling points.

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Acknowledgements

W. Ao was supported by NSFC 11801421, 12071357. O. Kwon was supported by Young Researcher Program through the National Research Foundation of Korea (NRF) (No. NRF-2016R1C1B2014942). Y. Lee was supported by the POSCO Science Fellowship of POSCO TJ Park Foundation.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Wuhan University, Wuhan, 430072, People’s Republic of China

    Weiwei Ao

  2. Department of Mathematics, Chungbuk National University, Chungdae-ro 1, Seowon-gu, Cheongju, Chungbuk, 362-763, Korea

    Ohsang Kwon

  3. Department of Mathematical Sciences, College of Natural Sciences, Ulsan National Institute of Science and Technology (UNIST), Ulsan, Republic of Korea

    Youngae Lee

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  1. Weiwei Ao
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  2. Ohsang Kwon
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  3. Youngae Lee
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Correspondence to Youngae Lee.

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Communicated by M. del Pino.

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Ao, W., Kwon, O. & Lee, Y. Multi-bubbling condensates for the Maxwell-Chern-Simons model. Calc. Var. 61, 34 (2022). https://doi.org/10.1007/s00526-021-02143-x

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