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. https://doi.org/10.68381/jca19009

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Published by Heldermann Verlag, 2012. Rights now held by Banach Press.