Geodesic
Approximate smoothings of locally Lipschitz functionals
Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 2, pp. 289-320

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The paper deals with approximation of locally Lipschitz functionals. A concept of approximation, based on the idea of graph approximation of the generalized gradient, is discussed and the existence of such approximations for locally Lipschitz functionals, defined on open domains in $\mathbb{R}^{N}$, is proved. Subsequently, the procedure of a smooth normal approximation of the class of regular sets (containing e.g. convex and/or epi-Lipschitz sets) is presented. 
@article{BUMI_2002_8_5B_2_a2,
     author = {\'Cwiszewski, Aleksander and Kryszewski, Wojciech},
     title = {Approximate smoothings of locally {Lipschitz} functionals},
     journal = {Bollettino della Unione matematica italiana},
     pages = {289--320},
     publisher = {mathdoc},
     volume = {Ser. 8, 5B},
     number = {2},
     year = {2002},
     zbl = {1177.49028},
     mrnumber = {MR1911193},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_2_a2/}
}
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Ćwiszewski, Aleksander; Kryszewski, Wojciech. Approximate smoothings of locally Lipschitz functionals. Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 2, pp. 289-320. http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_2_a2/