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

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

R. Guefaifia, S. Boulaaras, Rashid Jan

{"title":"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","authors":"R. Guefaifia, S. Boulaaras, Rashid Jan","doi":"10.1515/gmj-2024-2025","DOIUrl":null,"url":null,"abstract":"\n 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.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence of positive weak solutions for stationary fractional Laplacian problem by using sub-super solutions\",\"authors\":\"R. Guefaifia, S. Boulaaras, Rashid Jan\",\"doi\":\"10.1515/gmj-2024-2025\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n 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.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-05-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/gmj-2024-2025\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/gmj-2024-2025","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

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。

查看原文

微信好友朋友圈 QQ好友复制链接

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助