一类非局部奇异椭圆问题的比较结果

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-11-10 DOI:10.3233/asy-231860

Barbara Brandolini, Ida de Bonis, Vincenzo Ferone, Bruno Volzone

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引用次数: 0

摘要

我们以质量浓度比较的形式给出了分数阶奇异椭圆方程在有界域中的对称结果，并与齐次外部狄利克雷条件耦合。根据方程右侧的可和性，给出了两种类型的比较结果。在主要结果的证明的核心中使用的最大原理论证提供了一种非标准的、灵活的替代方法。配给。动力机械。肛门239(2021)1733-1770，定理31)。一些有趣的结果是L - p正则性结果和解的非局部能量估计。

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Comparison results for a nonlocal singular elliptic problem

We provide symmetrization results in the form of mass concentration comparisons for fractional singular elliptic equations in bounded domains, coupled with homogeneous external Dirichlet conditions. Two types of comparison results are presented, depending on the summability of the right-hand side of the equation. The maximum principle arguments employed in the core of the proofs of the main results offer a nonstandard, flexible alternative to the ones described in (Arch. Ration. Mech. Anal. 239 (2021) 1733–1770, Theorem 31). Some interesting consequences are L p regularity results and nonlocal energy estimates for solutions.

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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.