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

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

引用次数: 0

Abstract

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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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

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。

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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