分数 m-Laplacian 系统的主曲线及相关的最大值和比较原则

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-05-20 DOI:10.1007/s13540-024-00293-1

Anderson L. A. de Araujo, Edir J. F. Leite, Aldo H. S. Medeiros

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引用次数: 0

摘要

在本文中，我们对涉及分数 m-Laplacian 算子的一类重要非线性系统的主特征值以及（弱和强）最大值和比较原则进行了全面研究。我们还证明了该系统的主特征值在有界域 $\varOmega \subset {\mathbb {R}}^N$ 的直径方面的明确下限。作为应用，我们明确地测量了 $\text {diam}(\varOmega )$ 必须有多小才能使与这个问题相关的弱最大原则和强最大原则在 $\varOmega $ 中成立。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$Principal curves to fractional m-Laplacian systems and related maximum and comparison principles$

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Principal curves to fractional m-Laplacian systems and related maximum and comparison principles

In this paper we develop a comprehensive study on principal eigenvalues and both the (weak and strong) maximum and comparison principles related to an important class of nonlinear systems involving fractional m-Laplacian operators. Explicit lower bounds for principal eigenvalues of this system in terms of the diameter of bounded domain $\varOmega \subset {\mathbb {R}}^N$ are also proved. As application, we measure explicitly how small has to be $\text {diam}(\varOmega )$ so that weak and strong maximum principles associated to this problem hold in $\varOmega $.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464