|
|||||
|
|
A system of elliptic equations arising in Chern-Simons field theory |
|
| Authors: | Chang-Shou Lin Yisong Yang |
| Affiliation: | a Department of Mathematics, National Taiwan University, Taipei, Taiwan 10617, ROC b Laboratoire de Mathématiques et Physique Théorique (UMR CNRS 6083), Fédération Denis Poisson, Université François Rabelais, 37200 Tours, France c Department of Mathematics, Polytechnic University, Brooklyn, New York 11201, USA d Chern Institute of Mathematics, Nankai University, Tianjin 300071, PR China |
| Abstract: | 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 R2. 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 R2 limit from the bounded-domain solutions to obtain a topological solution in R2. |
| Keywords: | Self-dual vortices Topological solutions Gauge fields Elliptic equations |
| 本文献已被 ScienceDirect 等数据库收录！ | |