A Sufficient Condition for the C 2 -Rectifiability of the Set of Regular Values (in the Sense of Clarke) of a Lipschitz Map

Silvano Delladio

Bollettino dell'Unione Matematica Italiana (2008)

  • Volume: 1, Issue: 3, page 695-707
  • ISSN: 0392-4041

Abstract

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We prove a result about the rectifiability of class C 2 of the set of regular values (in the sense of Clarke) of a Lipschitz map φ : ℝ n → ℝ N with n < N

How to cite

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Delladio, Silvano. "A Sufficient Condition for the $C^2$-Rectifiability of the Set of Regular Values (in the Sense of Clarke) of a Lipschitz Map." Bollettino dell'Unione Matematica Italiana 1.3 (2008): 695-707. <http://eudml.org/doc/290480>.

@article{Delladio2008,
abstract = { We prove a result about the rectifiability of class $C^2$ of the set of regular values (in the sense of Clarke) of a Lipschitz map $\varphi \colon \mathbb\{R\}^n \rightarrow \mathbb\{R\}^N$ with $n < N$},
author = {Delladio, Silvano},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {695-707},
publisher = {Unione Matematica Italiana},
title = {A Sufficient Condition for the $C^2$-Rectifiability of the Set of Regular Values (in the Sense of Clarke) of a Lipschitz Map},
url = {http://eudml.org/doc/290480},
volume = {1},
year = {2008},
}

TY - JOUR
AU - Delladio, Silvano
TI - A Sufficient Condition for the $C^2$-Rectifiability of the Set of Regular Values (in the Sense of Clarke) of a Lipschitz Map
JO - Bollettino dell'Unione Matematica Italiana
DA - 2008/10//
PB - Unione Matematica Italiana
VL - 1
IS - 3
SP - 695
EP - 707
AB - We prove a result about the rectifiability of class $C^2$ of the set of regular values (in the sense of Clarke) of a Lipschitz map $\varphi \colon \mathbb{R}^n \rightarrow \mathbb{R}^N$ with $n < N$
LA - eng
UR - http://eudml.org/doc/290480
ER -

References

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  13. FU, J.H.G. - Erratum to "Some Remarks On Legendrian Rectifiable Currents". Manuscripta Math., 113, n. 3 (2004), 397-401. Zbl1066.53014MR2129312DOI10.1007/s00229-004-0437-1
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