积分微分半线性椭圆方程的子超解法及其若干应用

IF 1.1 3区数学 Q1 MATHEMATICS

Mediterranean Journal of Mathematics 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

Mediterranean Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

261

审稿时长

6-12 weeks

期刊介绍： The Mediterranean Journal of Mathematics (MedJM) is a publication issued by the Department of Mathematics of the University of Bari. The new journal replaces the Conferenze del Seminario di Matematica dell’Università di Bari which has been in publication from 1954 until 2003. The Mediterranean Journal of Mathematics aims to publish original and high-quality peer-reviewed papers containing significant results across all fields of mathematics. The submitted papers should be of medium length (not to exceed 20 printed pages), well-written and appealing to a broad mathematical audience. In particular, the Mediterranean Journal of Mathematics intends to offer mathematicians from the Mediterranean countries a particular opportunity to circulate the results of their researches in a common journal. Through such a new cultural and scientific stimulus the journal aims to contribute to further integration amongst Mediterranean universities, though it is open to contribution from mathematicians across the world.