Rectifiability of Special Singularities of Non-Lipschitz Functions

Khai Tien Nguyen; Davide Vittone

Abstract

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

Author information

Contact details are reproduced from the original publication and may be historical.

Khai Tien Nguyen

Università di Padova, Dip. di Matematica Pura ed Applicata, Via Trieste 63, 35121 Padova, Italy

khai@math.unipd.it

Davide Vittone

Università di Padova, Dip. di Matematica Pura ed Applicata, Via Trieste 63, 35121 Padova, Italy

vittone@math.unipd.it

Keywords

Normal vectors
exterior sphere condition
rectifiability

Suggested citation

K. T. Nguyen, D. Vittone. “Rectifiability of Special Singularities of Non-Lipschitz Functions.” Journal of Convex Analysis 19 (2012), No. 1, 159–170.