We prove a result about the rectifiability of class of the set of regular values (in the sense of Clarke) of a Lipschitz map with
@article{BUMI_2008_9_1_3_695_0, author = {Silvano Delladio}, title = {A Sufficient Condition for the $C^2$-Rectifiability of the Set of Regular Values (in the Sense of Clarke) of a Lipschitz Map}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {1}, year = {2008}, pages = {695-707}, zbl = {1211.49051}, mrnumber = {2455340}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_2008_9_1_3_695_0} }
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, Tome 1 (2008) pp. 695-707. http://gdmltest.u-ga.fr/item/BUMI_2008_9_1_3_695_0/
[1] On the structure of singular sets of convex functions. Calc. Var., 2 (1994), 17-27. | MR 1384392 | Zbl 0790.26010
,[2] Singular sets of surfaces with generalized curvatures. Manuscripta Math., 86 (1995), 417-433. | MR 1324680 | Zbl 0837.49020
- ,[3] -rectifiable sets. J. reine angew. Math., 453 (1994), 1-20. | MR 1285779
- ,[4] Sard's theorem for mappings in Holder and Sobolev spaces. Manuscripta Math., 118, n. 3 (2005), 383-397. | MR 2183045 | Zbl 1098.46024
- - ,[5] | MR 1488695 | Zbl 1047.49500
- - - , Nonsmooth analysis and control theory. Graduate Texts in Mathematics, Springer Verlag 1998.[6] Taylor's polynomials and non-homogeneous blow-ups. Manuscripta Math., 113, n. 3 (2004), 383-396. | MR 2129311 | Zbl 1093.53078
,[7] Non-homogeneous dilatations of a functions graph and Taylors formula: some results about convergence. Real Anal. Exchange, 29, n. 2 (2003/2004), 687-712. | MR 2083806 | Zbl 1071.28005
,[8] A result about -rectifiability of one-dimensional rectifiable sets. Application to a class of one-dimensional integral currents. Boll. Un. Matem. Italiana, 10-B (2007), 237-252. | MR 2310966 | Zbl 1178.53003
,[9] A sufficient condition for the -rectifiability of Lipschitz curves. To appear on J. Geom. Anal. [PDF available at the page http://eprints.biblio.unitn.it/ archive/00000934/]. | MR 2420763 | Zbl 1152.49325
,[10] | MR 1158660
- , Lecture Notes on Measure Theory and Fine Properties of Functions. (Studies in Advanced Math.) CRC Press 1992.[11] | MR 257325 | Zbl 0176.00801
, Geometric Measure Theory. Springer-Verlag1969.[12] Some Remarks On Legendrian Rectifiable Currents. Manuscripta Math., 97, n. 2 (1998), 175-187. | MR 1651402 | Zbl 0916.53038
,[13] Erratum to "Some Remarks On Legendrian Rectifiable Currents". Manuscripta Math., 113, n. 3 (2004), 397-401. | MR 2129312 | Zbl 1066.53014
-[14] | MR 1333890 | Zbl 0819.28004
, Geometry of sets and measures in Euclidean spaces. Cambridge University Press, 1995.[15] Lectures on Geometric Measure Theory. Proceedings of the Centre for Mathematical Analysis, Canberra, Australia, vol. 3, 1984. | MR 756417
, , Singular Integrals and Differentiability Properties of Functions. Princeton University Press, Princeton, 1970.