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Abstract In this paper we establish the existence of vortex solutions for a relativistic self-dual U ( 1 ) × U ( 1 ) Chern–Simons system over a doubly periodic… Click to show full abstract
Abstract In this paper we establish the existence of vortex solutions for a relativistic self-dual U ( 1 ) × U ( 1 ) Chern–Simons system over a doubly periodic domain. We use a constrained minimization approach to obtain the existence result, the system admits a solution when the Chern–Simons coupling parameter κ > 0 is sufficiently small; while no solution exists when κ > 0 is not sufficiently small. And we also get the quantized integral.
Keywords:
chern simons;
simons model;
periodic vortices;
doubly periodic;
vortices chern
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
Link to full text (if available)
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recommendations!