bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

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 Serie 9 1 (2008), fasc. n.3, p. 695-707, (English)
pdf (450 Kb), djvu (108 Kb). | MR 2455340 | Zbl 1211.49051

Sunto

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 $n < N$
Referenze Bibliografiche
[1] G. ALBERTI, On the structure of singular sets of convex functions. Calc. Var., 2 (1994), 17-27. | fulltext (doi) | MR 1384392 | Zbl 0790.26010
[2] G. ANZELLOTTI - E. OSSANNA, Singular sets of surfaces with generalized curvatures. Manuscripta Math., 86 (1995), 417-433. | fulltext EuDML | fulltext (doi) | MR 1324680 | Zbl 0837.49020
[3] G. ANZELLOTTI - R. SERAPIONI, $C^k$-rectifiable sets. J. reine angew. Math., 453 (1994), 1-20. | fulltext EuDML | MR 1285779
[4] B. BOJARSKI - P. HAJLASZ - P. STRZELECKI, Sard's theorem for mappings in Holder and Sobolev spaces. Manuscripta Math., 118, n. 3 (2005), 383-397. | fulltext (doi) | MR 2183045 | Zbl 1098.46024
[5] F.H. CLARKE - YU.S. LEDYAEV - R.J. STERN - P.R. WOLENSKI, Nonsmooth analysis and control theory. Graduate Texts in Mathematics, Springer Verlag 1998. | MR 1488695 | Zbl 1047.49500
[6] S. DELLADIO, Taylor's polynomials and non-homogeneous blow-ups. Manuscripta Math., 113, n. 3 (2004), 383-396. | fulltext (doi) | MR 2129311 | Zbl 1093.53078
[7] S. DELLADIO, Non-homogeneous dilatations of a functions graph and Taylors formula: some results about convergence. Real Anal. Exchange, 29, n. 2 (2003/2004), 687-712. | fulltext (doi) | MR 2083806 | Zbl 1071.28005
[8] S. DELLADIO, A result about $C^2$-rectifiability of one-dimensional rectifiable sets. Application to a class of one-dimensional integral currents. Boll. Un. Matem. Italiana, 10-B (2007), 237-252. | fulltext bdim | fulltext EuDML | MR 2310966 | Zbl 1178.53003
[9] S. DELLADIO, A sufficient condition for the $C^H$-rectifiability of Lipschitz curves. To appear on J. Geom. Anal. [PDF available at the page http://eprints.biblio.unitn.it/ archive/00000934/]. | fulltext (doi) | MR 2420763 | Zbl 1152.49325
[10] L.C. EVANS - R.F. GARIEPY, Lecture Notes on Measure Theory and Fine Properties of Functions. (Studies in Advanced Math.) CRC Press 1992. | MR 1158660
[11] H. FEDERER, Geometric Measure Theory. Springer-Verlag 1969. | MR 257325 | Zbl 0176.00801
[12] J.H.G. FU, Some Remarks On Legendrian Rectifiable Currents. Manuscripta Math., 97, n. 2 (1998), 175-187. | fulltext (doi) | MR 1651402 | Zbl 0916.53038
[13] J.H.G. FU - Erratum to "Some Remarks On Legendrian Rectifiable Currents". Manuscripta Math., 113, n. 3 (2004), 397-401. | fulltext (doi) | MR 2129312 | Zbl 1066.53014
[14] P. MATTILA, Geometry of sets and measures in Euclidean spaces. Cambridge University Press, 1995. | fulltext (doi) | MR 1333890 | Zbl 0819.28004
[15] L. SIMON, Lectures on Geometric Measure Theory. Proceedings of the Centre for Mathematical Analysis, Canberra, Australia, vol. 3, 1984. | MR 756417
[16] E.M. STEIN, Singular Integrals and Differentiability Properties of Functions. Princeton University Press, Princeton, 1970. | MR 290095 | Zbl 0207.13501

La collezione può essere raggiunta anche a partire da EuDML, la biblioteca digitale matematica europea, e da mini-DML, il progetto mini-DML sviluppato e mantenuto dalla cellula Math-Doc di Grenoble.

Per suggerimenti o per segnalare eventuali errori, scrivete a

logo MBACCon il contributo del Ministero per i Beni e le AttivitĂ  Culturali