准凸函数部分正则性的极限情况

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-08-10 DOI:10.3934/mine.2024001

M. Piccinini

引用次数: 0

摘要

非均质准凸变积分的局部最小值具有标准的 $ p $ 增长类型（begin{document}$ w\mapsto int \left[F(Dw)-f\cdot w\right]{、{{rm{d}}}x} $\end{document}的特征是几乎无处不在的 $ \mbox{BMO} $规则梯度，条件是 $ f $ 属于边界线马钦凯维奇空间 $ L(n, \infty) $。

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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A limiting case in partial regularity for quasiconvex functionals

Local minimizers of nonhomogeneous quasiconvex variational integrals with standard $ p $-growth of the type

\begin{document}$ w\mapsto \int \left[F(Dw)-f\cdot w\right]{\,{{\rm{d}}}x} $\end{document}

feature almost everywhere $ \mbox{BMO} $-regular gradient provided that $ f $ belongs to the borderline Marcinkiewicz space $ L(n, \infty) $.

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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.