Open AccessFréchet differentiability of Lipschitz functions via a variational principle
Author(s) -
Joram Lindenstrauss,
David Preiss,
Jaroslav Tišer
Publication year - 2010
Publication title -
journal of the european mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.549
H-Index - 64
eISSN - 1435-9863
pISSN - 1435-9855
DOI - 10.4171/jems/202
Subject(s) - mathematics , differentiable function , lipschitz continuity , variational principle , completeness (order theory) , pure mathematics , domain (mathematical analysis) , lipschitz domain , mathematical analysis
We prove a new variational principle which in particular does not assume the complete- ness 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 Fr´ echet differentiability.
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