Ambrosio L, Schmidt T (2013)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2013
Publisher: London Mathematical Society
Book Volume: 106
Pages Range: 1121-1142
Journal Issue: 5
URI: http://cvgmt.sns.it/paper/1762/
DOI: 10.1112/plms/pds066
We consider the Plateau problem and the corresponding free boundary problem for finite-dimensional surfaces in possibly infinite-dimensional Banach spaces. For a large class of duals and, in particular, for reflexive spaces, we establish the general solvability of these problems in terms of currents. As an auxiliary result, we prove a new compactness theorem for currents in dual spaces, which in turn relies on a fine analysis of the w*-topology. © 2012 London Mathematical Society.
APA:
Ambrosio, L., & Schmidt, T. (2013). Compactness results for normal currents and the Plateau problem in dual Banach spaces. Proceedings of the London Mathematical Society, 106(5), 1121-1142. https://doi.org/10.1112/plms/pds066
MLA:
Ambrosio, Luigi, and Thomas Schmidt. "Compactness results for normal currents and the Plateau problem in dual Banach spaces." Proceedings of the London Mathematical Society 106.5 (2013): 1121-1142.
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