变分微积分和Aronsson-Euler方程解的一个性质

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

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引用次数: 3

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，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)。

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

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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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

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.