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null Astala, Kari / Colding, Tobias / Dacorogna, Bernard / Maso, Gianni / Benedetto, Emmanuele / Fonseca, Irene / Finster, Felix / Gursky, Matthew / Hardt, Robert / Ishii, Hitoshi / Manfredi, Juan / McCann, Robert / Mingione, Giuseppe / Pacard, Frank / Preiss, David / Riviére, Tristan / Schaetzle, Reiner / Kristensen, Jan
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1Departament de Tecnologies de la Informació i les Comunicacions, Universitat Pompeu–Fabra, C/Roc Boronat 138, 08018 Barcelona, Spain
2Dipartimento di Matematica, University of Parma, Parco Area delle Scienze 53/a, 43124 Parma, Italy
3Dipartimento di Matematica, University of Ferrara, via Machiavelli 35, 44121 Ferrara, Italy
4Dipartimento di Matematica, University of Padova, via Trieste 63, 35121 Padova, Italy
Citation Information: Advances in Calculus of Variations. Volume 5, Issue 1, Pages 59–76, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258, DOI: 10.1515/acv.2011.010, January 2012
Publication History:
We compare the perimeter measure with the Airault–Malliavin surface measure and we prove that all open convex subsets of abstract Wiener spaces have finite perimeter. By an explicit counter-example, we show that in general this is not true for compact convex domains.
Keywords.: Perimeter; abstract Wiener spaces; convex sets
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