积分微分半线性椭圆方程的子超解法及其若干应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-10 DOI:10.1007/s00009-024-02662-9

Romildo N. de Lima, Alânnio B. Nóbrega, Leandro S. Tavares

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引用次数: 0

摘要

在本手稿中，我们介绍了一个新的子超解结果，该结果适用于涉及带有局部和非局部项的整微分算子的问题，该问题出现在热过程、等离子体反应和人口增长等多个应用中。所得到的结果允许考虑广泛的方程类别。该结果的几个应用补充了该领域的最新研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A Sub-supersolution Method for Integro-differential Semilinear Elliptic Equations and Some Applications

In this manuscript, we introduce a new sub-supersolution result for a problem involving an integro-differential operator with local and nonlocal terms, which arise in several applications such as thermal process, plasma reaction, and populational growth. The result obtained allows to consider a wide class of equations. Several applications of the result are provided which complements recent studies in the field.

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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.