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- W4292609854 abstract "We show that in the setting of proper metric spaces one obtains a solution of the classical two-dimensional Plateau problem by minimizing the energy, as in the classical case, once a definition of area (in the sense of convex geometry) has been chosen appropriately. We prove the quasi-convexity of this new definition of area. Under the assumption of a quadratic isoperimetric inequality we establish regularity results for energy minimizers and improve Hoelder exponents of some area-minimizing discs." @default.
- W4292609854 created "2022-08-22" @default.
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- W4292609854 date "2015-07-09" @default.
- W4292609854 modified "2023-09-23" @default.
- W4292609854 title "Energy and area minimizers in metric spaces" @default.
- W4292609854 doi "https://doi.org/10.48550/arxiv.1507.02670" @default.
- W4292609854 hasPublicationYear "2015" @default.
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