带下阶项和哈代势的奇异 p(x)- 拉普拉斯方程

The Journal of Geometric Analysis Pub Date : 2024-09-17 DOI:10.1007/s12220-024-01790-8

Aicha Benguetaib, Hichem Khelifi, Karima Ait-Mahiout

{"title":"带下阶项和哈代势的奇异 p(x)- 拉普拉斯方程","authors":"Aicha Benguetaib, Hichem Khelifi, Karima Ait-Mahiout","doi":"10.1007/s12220-024-01790-8","DOIUrl":null,"url":null,"abstract":"The present paper is concerned by the study of a nonlinear elliptic equation which contains a Hardy potential, lower order term, singular term and \\(L^{m(\\cdot )} \\) data. Our approach is based on approximating the initial problem with a non-singular problem that is well-posed. We then establish the necessary estimates to pass to the limit.","PeriodicalId":501200,"journal":{"name":"The Journal of Geometric Analysis","volume":"20 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Singular p(x)-Laplace Equations with Lower-Order Terms and a Hardy Potential\",\"authors\":\"Aicha Benguetaib, Hichem Khelifi, Karima Ait-Mahiout\",\"doi\":\"10.1007/s12220-024-01790-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The present paper is concerned by the study of a nonlinear elliptic equation which contains a Hardy potential, lower order term, singular term and \\\\(L^{m(\\\\cdot )} \\\\) data. Our approach is based on approximating the initial problem with a non-singular problem that is well-posed. We then establish the necessary estimates to pass to the limit.\",\"PeriodicalId\":501200,\"journal\":{\"name\":\"The Journal of Geometric Analysis\",\"volume\":\"20 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Journal of Geometric Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s12220-024-01790-8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Journal of Geometric Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s12220-024-01790-8","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

本文研究的是一个非线性椭圆方程，该方程包含哈代势、低阶项、奇异项和（L^{m(\cdot )} ）数据。我们的方法基于用一个摆好的非奇异问题来逼近初始问题。然后，我们建立必要的估计值，以达到极限。

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

本刊更多论文

Singular p(x)-Laplace Equations with Lower-Order Terms and a Hardy Potential

The present paper is concerned by the study of a nonlinear elliptic equation which contains a Hardy potential, lower order term, singular term and \(L^{m(\cdot )} \) data. Our approach is based on approximating the initial problem with a non-singular problem that is well-posed. We then establish the necessary estimates to pass to the limit.

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

来源期刊

The Journal of Geometric Analysis

自引率

0.00%

发文量