Compactness results for normal currents and the Plateau problem in dual Banach spaces

DOI10.1112/plms/pds066zbMath1275.49073OpenAlexW2077693453MaRDI QIDQ4928925

Thomas Schmidt, Luigi Ambrosio

Publication date: 19 June 2013

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/pds066

zbMATH Keywords

normal currentscompactnessPlateau problemdual Banach spaces\(w^*\)-topology

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Compactness in Banach (or normed) spaces (46B50)

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