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Non-topological Condensates for the Self-dual Maxwell-Chern-Simons Model |
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Citation: |
Weiwei AO,Chao LIU.Non-topological Condensates for the Self-dual Maxwell-Chern-Simons Model[J].Chinese Annals of Mathematics B,2025,46(5):663~694 |
Page view: 162
Net amount: 92 |
Authors: |
Weiwei AO; Chao LIU |
Foundation: |
the National Key Research and Development Program of China
(No. 2022YFA1006800), the National Natural Science Foundation of China (Nos. 12471111, 12131017,
12221001) and the Fundamental Research Funds for the Central Universities (No. 2682025CX024). |
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Abstract: |
In this paper, the authors study the elliptic system arising from the study of
Maxwell-Chern-Simons model. They show that there exists a family of non-topological
solutions with magnetic field concentrated at some of the vortex points as the two physical
parameters satisfying almost optimal conditions where the limiting profile is the singular
Liouville equation. |
Keywords: |
Self-dual Maxwell-Chern-Simons model Non-topological condensates Vortex concentration |
Classification: |
35B40, 35J47 |
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