Abstract
In this paper, we prove the uniqueness of topological solutions for the self-dual Maxwell–Chern–Simons O(3) sigma model under the conditions on Chern–Simons coupling parameter and the charge of electron. Besides, we also provide the quantitative analysis of radial solutions of all types for single vortex-point case.
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Acknowledgements
The authors would like to express their gratitude to the anonymous referees for helpful suggestions and comments to improve the exposition of the article. The work is partly supported by the Ministry of Science and Technology of Taiwan under the grant MOST 106-2628-M-018-001-MY4, MOST 107-2115-M-008-005-MY3 and National Center for Theoretical Science (NCTS).
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Communicated by Y. Giga.
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Z.-Y. Chen: work partially supported by Ministry of Science and Technology of Taiwan under Grant No. MOST 106-2628-M-018-001-MY4.
J.-L. Chern: work partially supported by Ministry of Science and Technology of Taiwan under Grant No. MOST 107-2115-M-008-005-MY3.
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Chen, ZY., Chern, JL. The analysis of solutions for Maxwell–Chern–Simons O(3) sigma model. Calc. Var. 58, 147 (2019). https://doi.org/10.1007/s00526-019-1590-4
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DOI: https://doi.org/10.1007/s00526-019-1590-4