The Engulfing Property from a Convex Analysis Viewpoint
Analysis of PDEs
2020-07-20 v1
Abstract
In this note we provide a simple proof of some properties enjoyed by convex functions having the engulfing property. In particular, making use only of results peculiar to convex analysis, we prove that differentiability and strict convexity are conditions intrinsic to the engulfing property.
Cite
@article{arxiv.2007.08859,
title = {The Engulfing Property from a Convex Analysis Viewpoint},
author = {Andrea Calogero and Rita Pini},
journal= {arXiv preprint arXiv:2007.08859},
year = {2020}
}