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On a System of Nonlinear Elliptic Equations Arising in Theoretical Physics

✍ Scribed by Yisong Yang

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
306 KB
Volume
170
Category
Article
ISSN
0022-1236

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✦ Synopsis

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 necessary and sufficient condition. When the space is R 2 , we establish the existence, uniqueness and sharp decay estimates for a solution.

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