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Behavior at the boundary of a solution to Plateau’s problem

Behavior at the boundary of a solution to Plateau’s problem

Knowledge of the existence and structure of tangent cones plays a basic role in the study of the interior structure of area minimizing integral currents [6, §5.4] and in the study of the structure of rectifiable varifolds [2].Moreover, in his study of boundary regularity of area minimizing currents with smooth …