We consider certain properties of maps of class C-2 from R-d to Rd-1 that are strictly related to Sard's theorem, and we show that some of them can be extended to Lipschitz maps, while others require some additional regularity. We also give examples showing that, in terms of regularity, our results are optimal.

Structure of level sets and Sard-type properties of Lipschitz maps / Alberti, G.; Bianchini, S.; Crippa, G.. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - 12:4(2013), pp. 863-902. [10.2422/2036-2145.201107_006]

Structure of level sets and Sard-type properties of Lipschitz maps

Bianchini, S.;
2013-01-01

Abstract

We consider certain properties of maps of class C-2 from R-d to Rd-1 that are strictly related to Sard's theorem, and we show that some of them can be extended to Lipschitz maps, while others require some additional regularity. We also give examples showing that, in terms of regularity, our results are optimal.
2013
12
4
863
902
http://annaliscienze.sns.it/index.php?page=Article&id=289
Alberti, G.; Bianchini, S.; Crippa, G.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13921
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