On a System of Nonlinear Elliptic Equati
✍
Yisong Yang
📂
Article
📅
2000
🏛
Elsevier Science
🌐
English
⚖ 306 KB
In this paper we study a system of nonlinear elliptic equations, known as the ``vortex equations'' in 2 dimensions, arising from the field-theoretical descriptions of several models in physics. When the underlying space is a closed surface, we prove the existence and uniqueness of a solution under a