准线性退化椭圆系统解的存在性和正则性

IF 1.3 2区数学 Q1 MATHEMATICS Nonlinear Analysis-Theory Methods & Applications Pub Date : 2024-08-01 Epub Date: 2024-05-16 DOI:10.1016/j.na.2024.113562

Patrizia Di Gironimo , Francesco Leonetti , Marta Macrì

{"title":"准线性退化椭圆系统解的存在性和正则性","authors":"Patrizia Di Gironimo , Francesco Leonetti , Marta Macrì","doi":"10.1016/j.na.2024.113562","DOIUrl":null,"url":null,"abstract":"<div><p>The existence of a solution to a quasilinear system of degenerate equations is proved, assuming that the datum has an intermediate degree of summability and that the off-diagonal coefficients have a support contained in a crossed staircase set. The support required in this paper is larger than the one assumed in a previous work.</p></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":"245 ","pages":"Article 113562"},"PeriodicalIF":1.3000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence and regularity for solutions of quasilinear degenerate elliptic systems\",\"authors\":\"Patrizia Di Gironimo , Francesco Leonetti , Marta Macrì\",\"doi\":\"10.1016/j.na.2024.113562\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The existence of a solution to a quasilinear system of degenerate equations is proved, assuming that the datum has an intermediate degree of summability and that the off-diagonal coefficients have a support contained in a crossed staircase set. The support required in this paper is larger than the one assumed in a previous work.</p></div>\",\"PeriodicalId\":49749,\"journal\":{\"name\":\"Nonlinear Analysis-Theory Methods & Applications\",\"volume\":\"245 \",\"pages\":\"Article 113562\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis-Theory Methods & Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0362546X24000816\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2024/5/16 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Theory Methods & Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0362546X24000816","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/5/16 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文证明了退化方程的准线性方程组解的存在性，假设基准具有中间可求和度，并且离对角线系数的支持包含在交叉阶梯集中。本文所要求的支撑比之前一项研究假设的支撑要大。

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

Existence and regularity for solutions of quasilinear degenerate elliptic systems

The existence of a solution to a quasilinear system of degenerate equations is proved, assuming that the datum has an intermediate degree of summability and that the off-diagonal coefficients have a support contained in a crossed staircase set. The support required in this paper is larger than the one assumed in a previous work.

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

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.