具有非标准增长的积分函数的先验有界最小化的 Lipschitz 正则性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-28 DOI:10.1007/s11118-024-10146-4

Michela Eleuteri, Antonia Passarelli di Napoli

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引用次数: 0

摘要

我们建立了满足非标准增长条件的非自治能量密度积分函数的先验有界局部最小值的 Lipschitz 正则性，其条件是增长与椭圆性指数之间的差距，这让人想起 [16] 中发现的尖锐约束。

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Lipschitz Regularity for a Priori Bounded Minimizers of Integral Functionals with Nonstandard Growth

We establish the Lipschitz regularity of the a priori bounded local minimizers of integral functionals with non autonomous energy densities satisfying non standard growth conditions under a bound on the gap between the growth and the ellipticity exponent that is reminiscent of the sharp bound already found in [16].

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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.