An existence theorem for a generalized self-dual Chern–Simons equation and its application |
| |
Authors: | Shouxin Chen Xiaosen Han |
| |
Institution: | 1. Institute of Contemporary Mathematics, Henan University, Kaifeng, 475004, China 2. School of Mathematics and Information Science, Henan University, Kaifeng, 475004, China
|
| |
Abstract: | In this paper, we establish an existence theorem for a generalized self-dual Chern–Simons equation over a doubly periodic domain and use the existence theorem to prove the existence of doubly periodic self-dual vortices in a Maxwell–Chern–Simons model with non-minimal coupling. We find a necessary and sufficient condition for the existence of solutions of the generalized Chern–Simons equation. We prove the existence result by using two methods, a super- and sub-solution method and a constrained minimization method. Our main contribution is that we find a general inequality-type constraint by using the second method and it maybe applied to some related problems with the similar structures. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|