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/}
}
TY - JOUR AU - Ćwiszewski, Aleksander AU - Kryszewski, Wojciech TI - Approximate smoothings of locally Lipschitz functionals JO - Bollettino della Unione matematica italiana PY - 2002 SP - 289 EP - 320 VL - 5B IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_2_a2/ LA - en ID - BUMI_2002_8_5B_2_a2 ER -
%0 Journal Article %A Ćwiszewski, Aleksander %A Kryszewski, Wojciech %T Approximate smoothings of locally Lipschitz functionals %J Bollettino della Unione matematica italiana %D 2002 %P 289-320 %V 5B %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_2_a2/ %G en %F BUMI_2002_8_5B_2_a2
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/