The Green's function on the Tate curve is built as a finite sum and the mean field equation is shown to have solutions that exist by convergence from finite quotients and are unique for some parameter values.
Kazdan-warner equation on graph.Cal- culus of Variations and Partial Differential Equations, 55(4):Art
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The Mean field equation on the Tate curve
The Green's function on the Tate curve is built as a finite sum and the mean field equation is shown to have solutions that exist by convergence from finite quotients and are unique for some parameter values.