Local Lipschitz continuity for energy integrals with slow growth and lower order terms

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-10-03 DOI:10.1016/j.nonrwa.2024.104224

Michela Eleuteri , Stefania Perrotta , Giulia Treu

引用次数: 0

Abstract

We consider integral functionals with slow growth and explicit dependence on

u

of the Lagrangian; this includes many relevant examples as, for instance, in elastoplastic torsion problems or in image restoration problems. Our aim is to prove that the local minimizers are locally Lipschitz continuous. The proof makes use of recent results concerning the Bounded Slope Conditions.

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具有缓慢增长和低阶项的能量积分的局部 Lipschitz 连续性

我们考虑的是增长缓慢且明确依赖于拉格朗日 u 的积分函数；这包括许多相关的例子，例如弹塑性扭转问题或图像复原问题。我们的目的是证明局部最小值是局部 Lipschitz 连续的。该证明利用了有关有界斜率条件的最新成果。

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

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.

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