Geodesic
Fréchet differentiability of Lipschitz functions via a variational principle
Journal of the European Mathematical Society, Tome 12 (2010) no. 2, pp. 385-412.

Voir la notice de l'article provenant de la source EMS Press

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 Fréchet differentiability.
DOI : 10.4171/jems/202
Classification : 26-XX, 58-XX, 00-XX
Keywords: Fréchet differentiability, Lipschitz functions, variational principle, Asplund space, mean value theorem, (d,d0)-complete metric space, cone monotone functions 
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     author = {Joram Lindenstrauss and David Preiss and Jaroslav Ti\v{s}er},
     title = {Fr\'echet differentiability of {Lipschitz} functions via a variational principle},
     journal = {Journal of the European Mathematical Society},
     pages = {385--412},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2010},
     doi = {10.4171/jems/202},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/202/}
}
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Joram Lindenstrauss; David Preiss; Jaroslav Tišer. Fréchet differentiability of Lipschitz functions via a variational principle. Journal of the European Mathematical Society, Tome 12 (2010) no. 2, pp. 385-412. doi : 10.4171/jems/202. http://geodesic.mathdoc.fr/articles/10.4171/jems/202/

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