Ćwiszewski, Kryszewski: Approximate smoothings of locally Lipschitz functionals

Ćwiszewski, Aleksander and Kryszewski, Wojciech:
Approximate smoothings of locally Lipschitz functionals
Bollettino dell'Unione Matematica Italiana Serie 8 5-B (2002), fasc. n.2, p. 289-320, Unione Matematica Italiana (English)
pdf (366 Kb), djvu (419 Kb). | MR1911193 | Zbl 1177.49028

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L'articolo tratta il problema dell'approssimazione di funzionali localmente Lipschitziani. Viene proposto un concetto di approssimazione che si basa sull'idea dell'approssimazione in grafico del gradiente generalizzato. Si prova l'esistenza di tali approssimazioni per funzionali localmente Lipschitziani definiti in domini aperti di $\mathbb{R}^{N}$. Infine, si presenta un procedimento di approssimazione normale regolare di insiemi regolari (introdotti in [13]).

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Referenze Bibliografiche