Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Convex Analysis 19 (2012), No. 1, 159--170
Copyright Heldermann Verlag 2012



Rectifiability of Special Singularities of Non-Lipschitz Functions

Khai Tien Nguyen
UniversitÓ di Padova, Dip. di Matematica Pura ed Applicata, Via Trieste 63, 35121 Padova, Italy
khai@math.unipd.it

Davide Vittone
UniversitÓ di Padova, Dip. di Matematica Pura ed Applicata, Via Trieste 63, 35121 Padova, Italy
vittone@math.unipd.it



We prove rectifiability results for special singularities of non-Lipschitz functions, namely for those points where the set of FrÚchet horizon supergradients contains a nonzero vector subspace.

Keywords: Normal vectors, exterior sphere condition, rectifiability.

[ Fulltext-pdf  (146  KB)] for subscribers only.