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- W1583875737 abstract "We prove existence and regularity of minimizers for Lipschitz integrands over general surfaces of arbitrary dimension and codimension in ( R^n ), satisfying a cohomological boundary condition. Our result specializes to a version of Plateau's problem in the case of a constant integrand. We generalize and extend methods of Reifenberg, Besicovitch, and Adams; in particular, we prove an asymptotic monotonicity result (density exists in the absence of true monotonicity,) we generalize a type of minimizing sequence used by Reifenberg (whose limits have nice properties, including lower bounds on lower density and finite Hausdorff measure,) and develop cohomological spanning conditions." @default.
- W1583875737 created "2016-06-24" @default.
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- W1583875737 date "2015-06-04" @default.
- W1583875737 modified "2023-09-27" @default.
- W1583875737 title "Solutions To Lipschitz Variational Problems With Cohomological Spanning Conditions" @default.
- W1583875737 hasPublicationYear "2015" @default.
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