Plateau's problem for integral currents in locally non-compact metric spaces

DOI10.1515/acv-2012-0018zbMath1286.49052arXiv1203.5330OpenAlexW2962939008MaRDI QIDQ2443309

Stefan Wenger

Publication date: 7 April 2014

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5330

zbMATH Keywords

Banach spacescompactnessPlateau problemarea minimizers

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Compactness in Banach (or normed) spaces (46B50)

Related Items (6)

Old and new challenges in Hadamard spaces ⋮ Filling minimality and Lipschitz-volume rigidity of convex bodies among integral current spaces ⋮ Partial regularity for mass-minimizing currents in Hilbert spaces ⋮ Short retractions of CAT(1) spaces ⋮ Area minimizing discs in metric spaces ⋮ Infinitesimal hilbertianity of locally \(\mathrm{CAT}(\kappa)\)-spaces

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