A property of Absolute Minimizers in $L^\infty$ Calculus of Variations and of solutions of the Aronsson-Euler equation

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-06-30 DOI:10.57262/ade028-0304-287

Camilla Brizzi, L. Pascale

引用次数: 3

Abstract

We discover a new minimality property of the absolute minimizers of supremal functionals, whose variational problems are also known as L ∞ variational problems. In particular for every minimizer v of the quasi-convex functional ess . sup we consider the set suitably deﬁned. If u is an absolute minimizer we give a structure result for A ( u ) and we show that then A ( u ) ⊂ A ( v ) for every minimizer v . Abstract. We discover a new minimality property of the absolute minimizers of supremal functionals (also known as L ∞ Calculus of Variations problems).

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变分微积分和Aronsson-Euler方程解的一个性质

我们发现了极限泛函的绝对极小值的一个新的极小性，它的变分问题也称为L∞变分问题。特别是对于拟凸泛函的每一个极小值v。因此，我们认为该集合有适当的定义。如果u是一个绝对最小化器，我们给出a (u)的结构结果，并证明对于每个最小化器v, a (u)∧a (v)。摘要我们发现了极限泛函的绝对极小值的一个新的极小性(也称为L∞变分问题)。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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