Homogeneous functions with nowhere-vanishing Hessian determinant

IF 1.8 1区数学 Q1 MATHEMATICS, APPLIED

Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2022-01-04 DOI:10.4171/aihpc/78

Connor Mooney

引用次数: 1

Abstract

We prove that functions that are homogeneous of degree $\alpha \in (0,\,1)$ on $\mathbb{R}^n$ and have nowhere vanishing Hessian determinant cannot change sign.

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具有不灭黑森行列式的齐次函数

证明了次$\ α \in(0，\，1)$在$\mathbb{R}^n$上齐次$\ α \in(0，\，1)$且无处消失的黑森行列式不能改变符号。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annales De L Institut Henri Poincare-Analyse Non Lineaire 数学-应用数学

CiteScore

4.10

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Nonlinear Analysis section of the Annales de l''Institut Henri Poincaré is an international journal created in 1983 which publishes original and high quality research articles. It concentrates on all domains concerned with nonlinear analysis, specially applicable to PDE, mechanics, physics, economy, without overlooking the numerical aspects.