Multiplicity for Self-Dual Condensate Solutions in the Maxwell-Chern-Simons O(3) Sigma Model |
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| Authors: | Jongmin Han Chang-Shou Lin |
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| Institution: | 1. Department of Mathematics , Kyung Hee University , Dongdaemun-Gu , Seoul , Korea jmhan@khu.ac.kr;3. Department of Mathematics , Taida Institute of Mathematical Sciences, National Taiwan University , Taipei , Taiwan |
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| Abstract: | In this paper, we study multiple existence of solutions of an elliptic system on a flat torus arising from the self-dual Maxwell-Chern-Simons O(3) sigma model. Using the Leray-Schauder degree, we find an explicit range of κ and q for which we have at least two vortex-antivortex solutions. For vortex solutions, we provide a complete picture of the range of κ and q for multiple existence of solutions. |
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| Keywords: | Maxwell-Chern-Simons O(3) sigma model Multiplicity of solutions |
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