✦ LIBER ✦
Existence Theorems for Periodic Non-relativistic Maxwell–Chern–Simons Solitons
✍ Scribed by Joel Spruck; Yisong Yang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 507 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
✦ Synopsis
We study the system of elliptic equations
defined over a doubly-periodic domain in R 2 , where the coefficients are specifically given by the physical model. This system arises in a self-dual non-relativistic Maxwell Chern Simons theory coupled with a neutral scalar field in (2+1)-dimensional spacetime and the solutions represent multivortices known as condensates. Our existence results reveal that the number of vortices confined in a periodic cell domain can be arbitrary and that the Chern Simons coupling parameter imposes no restriction to the existence of solutions.