A note on Alxesandrov type theorem for k-convex functions

Details A note on Alxesandrov type theorem for k-convex functions A note on Alxesandrov type theorem for k-convex functions

2004-11-01

arxiv.org/abs/math/0411036v1

Mathematics

Analysis of PDEs

Scientific paper

In this note we show that $k$-convex functions on $\Bbb R^n$ are twice
differentiable almost everywhere for every positive integer $k>n/2$. This
generalizes the classical Alexsandrov's theorem for convex functions.

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