A Variational Construction of Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities
Abstract
We construct using variational methods Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities. We obtain these surfaces through a convergence process reminiscent to the Ginzburg-Landau asymptotic analysis in the strongly repulsive regime. We describe in particular how the prescription of Schoen Wolfson conical singularities is related to optimal Wente constants.
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