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A system of elliptic equations arising in Chern–Simons field theory by Chang-Shou Lin; Augusto C. Ponce; Yisong Yang is a Mathematics article available to read on EtoBox.

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We prove the existence of topological vortices in a relativistic self-dual Abelian Chern-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 .

Who reads A system of elliptic equations arising in Chern–Simons field theory?

Author

Chang-Shou Lin; Augusto C. Ponce; Yisong Yang

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-1236)

Published

2007

Language

EN

Field

Mathematics (Physical Sciences)