Lin, Chang-Shou
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Yang, Yisong
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Ponce, Augusto
[UCL]
We prove the existence of topological vortices in a relativistic self-dual Abelian Chem-Simons theory with two Higgs particles and two gauge fields through a study of a coupled system of two nonlinear elliptic equations over R-2. We present two approaches to prove existence of solutions on bounded domains: via minimization of an indefinite functional and via a fixed point argument. We then show that we may pass to the full R-2 limit from the bounded-domain solutions to obtain a topological solution in R-2.
Bibliographic reference |
Lin, Chang-Shou ; Yang, Yisong ; Ponce, Augusto. A system of elliptic equations arising in Chern-Simons field theory. In: Journal of functional analysis, Vol. 247, no. 2, p. 289-350 (2007) |
Permanent URL |
http://hdl.handle.net/2078.1/70497 |