Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

N. Chaudhuri - N. S. Trudinger

A note on Alexsandrov type theorem for k-convex functions

created on 02 Nov 2004

[BibTeX]

Submitted Paper

Inserted: 2 nov 2004

Year: 2004

Abstract:

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.


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1