通过能量分析、相位平面和射击法解决涉及拉普拉良类算子的问题

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-26 DOI:10.1016/j.jmaa.2024.128910

Sigifredo Herrón , Emer Lopera , Diana Sánchez

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引用次数: 0

摘要

在本文中，我们建立了一个表现出符号变化的径向对称解的可数无限族。这些解是针对包含一个类似于 ϕ-Laplacian 的算子的 Dirichlet 边界值问题得到的。我们的主要工具是射影法、相平面和能量分析，它们要求广泛使用波佐哈耶夫类型的特性。

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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Solutions for a problem involving a ϕ-Laplacian-like operator via energy analysis, phase plane and shooting method

In this paper, we establish the existence of a countably infinite family of radially symmetric solutions that exhibit sign variations. These solutions are obtained for a Dirichlet boundary value problem incorporating a ϕ-Laplacian-like operator. Our main tools are the shooting method, phase plane and energy analysis, which demand extensive use of a Pozohaev-type identity.

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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.