A note on Alxesandrov type theorem for k-convex functions
偏微分方程分析
2007-05-23 v1
摘要
In this note we show that -convex functions on are twice differentiable almost everywhere for every positive integer . This generalizes the classical Alexsandrov's theorem for convex functions.
引用
@article{arxiv.math/0411036,
title = {A note on Alxesandrov type theorem for k-convex functions},
author = {Nirmalendu Chaudhuri and Neil S. Trudinger},
journal= {arXiv preprint arXiv:math/0411036},
year = {2007}
}