Calculus of Variations and Geometric Measure Theory
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N. Chaudhuri - N. S. Trudinger

A note on Alexsandrov type theorem for k-convex functions

created on 02 Nov 2004


Submitted Paper

Inserted: 2 nov 2004

Year: 2004


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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