Comparison results for a nonlocal singular elliptic problem

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

引用次数: 0

Abstract

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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一类非局部奇异椭圆问题的比较结果

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。

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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