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Fréchet differentiability of Lipschitz functions via a variational principle

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Lindenstrauss, J., Preiss, David and Tiser, J. (2010) Fréchet differentiability of Lipschitz functions via a variational principle. Journal of the European Mathematical Society, Vol.12 (No.2). pp. 385-412. doi:10.4171/JEMS/202 ISSN 1435-9855.

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Official URL: http://dx.doi.org/10.4171/JEMS/202

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Abstract

We prove a new variational principle which in particular does not assume the completeness of the domain. As an application we give a new, more natural, proof of the fact that a real valued Lipschitz function on an Asplund space has points of Frechet differentiability.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Journal of the European Mathematical Society
Publisher: European Mathematical Society Publishing House
ISSN: 1435-9855
Official Date: 2010
Dates:
DateEvent
2010Published
Volume: Vol.12
Number: No.2
Number of Pages: 28
Page Range: pp. 385-412
DOI: 10.4171/JEMS/202
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: GACR, MSM
Grant number: GACR3, 6840770010

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