利用子超级解求得静态分数拉普拉斯问题的正弱解的存在性

IF 0.8 4区数学 Q2 MATHEMATICS

Georgian Mathematical Journal Pub Date : 2024-05-17 DOI:10.1515/gmj-2024-2025

R. Guefaifia, S. Boulaaras, Rashid Jan

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引用次数: 0

摘要

在这项工作中，我们建立了一个关于以改变符号的权重函数为特征的静态分数拉普拉斯问题的正弱解的扩展定理。此外，我们还引入了新的条件，以确保给定问题存在正解。这些条件是利用子超级解的方法得出的，从而扩展并补充了文献中的现有结果。

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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Existence of positive weak solutions for stationary fractional Laplacian problem by using sub-super solutions

In this work, we establish a theorem concerning the extension of positive weak solutions for a stationary fractional Laplacian problem featuring weight functions that change sign. Additionally, we introduce novel conditions to ensure the existence of a positive solution for the given problem. These conditions are derived utilizing the approach of sub-super solutions, thereby extending and complementing existing results in the literature.

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来源期刊

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.