Stability of isoperimetric type inequalities for some Monge–Ampère functionals

被引：0
作者：
Daria Ghilli
Paolo Salani
机构：
[1] “U. Dini”,Dipartimento di Matematica
来源：
Annali di Matematica Pura ed Applicata | 2014年 / 193卷
关键词：
Monge–Ampère; Stability; Urysohn inequality ; Brunn–Minkowski inequality; Convex functions; Infimal convolution; 52A40; 35J60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the stability of some inequalities of isoperimetric type related to Monge–Ampère functionals. In particular, firstly we prove the stability of a reverse Faber–Krahn inequality for the Monge–Ampère eigenvalue and its generalization. Then we give a stability result for the Brunn–Minkowski inequality and for a consequent Urysohn’s type inequality for the so-called \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n$$\end{document}-torsional rigidity, a natural extension of the usual torsional rigidity.
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页码：643 / 661
页数：18
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