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Minimizers of the prescribed curvature functional in a Jordan domain with no necks

Minimizers of the prescribed curvature functional in a Jordan domain with no necks

We provide a geometric characterization of the minimal and maximal minimizer of the prescribed curvature functional P ( E ) − κ | E | among subsets of a Jordan domain Ω with no necks of radius κ −1 , for values of κ greater than or equal to the …