On a System of Nonlinear Elliptic Equations Arising in Theoretical Physics
نویسنده
چکیده
In this paper we study a system of nonlinear elliptic equations, known as thèvortex equations' in 2 dimensions, arising from the eld-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 suucient condition. When the space is R 2 , we establish the existence, uniqueness and sharp decay estimates for a solution.
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