On the structure of singular sets of convex functions

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

Whenf is a convex function ofR h, andk is an integer with 0<k, then the setσ k (f)=x:dim(∂f(x)k may be covered by countably many manifolds of dimensionh−k and classC 2 except an h−k negligible subset.

The author is supported by INdAM