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
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
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.
Keywords: Normal vectors, exterior sphere condition, rectifiability.
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