具有测量数据的奇异拟线性椭圆型障碍问题的Calderón-Zygmund型估计

IF 0.7 3区数学 Q2 MATHEMATICS Studia Mathematica Pub Date : 2021-09-02 DOI:10.4064/sm220321-26-4

Minh-Phuong Tran, Thanh-Nhan Nguyen, Phuoc-Nguyen Huynh

{"title":"具有测量数据的奇异拟线性椭圆型障碍问题的Calderón-Zygmund型估计","authors":"Minh-Phuong Tran, Thanh-Nhan Nguyen, Phuoc-Nguyen Huynh","doi":"10.4064/sm220321-26-4","DOIUrl":null,"url":null,"abstract":"We deal with a global Calder\\'on-Zygmund type estimate for elliptic obstacle problems of $p$-Laplacian type with measure data. For this paper, we focus on the singular case of growth exponent, i.e. $1<p \\le 2-\\frac{1}{n}$. In addition, the emphasis of this paper is in obtaining the Lorentz bounds for the gradient of solutions with the use of fractional maximal operators.","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2021-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Calderón–Zygmund type estimates for singular quasilinear elliptic obstacle problems with measure data\",\"authors\":\"Minh-Phuong Tran, Thanh-Nhan Nguyen, Phuoc-Nguyen Huynh\",\"doi\":\"10.4064/sm220321-26-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We deal with a global Calder\\\\'on-Zygmund type estimate for elliptic obstacle problems of $p$-Laplacian type with measure data. For this paper, we focus on the singular case of growth exponent, i.e. $1<p \\\\le 2-\\\\frac{1}{n}$. In addition, the emphasis of this paper is in obtaining the Lorentz bounds for the gradient of solutions with the use of fractional maximal operators.\",\"PeriodicalId\":51179,\"journal\":{\"name\":\"Studia Mathematica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Studia Mathematica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4064/sm220321-26-4\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studia Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4064/sm220321-26-4","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 1

摘要

我们讨论了带有测度数据的$p$-Laplacian型椭圆障碍问题的全局Calder’on-Zygmund型估计。在本文中，我们关注增长指数的奇异情况，即$1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

Calderón–Zygmund type estimates for singular quasilinear elliptic obstacle problems with measure data

We deal with a global Calder\'on-Zygmund type estimate for elliptic obstacle problems of $p$-Laplacian type with measure data. For this paper, we focus on the singular case of growth exponent, i.e. $1

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

Studia Mathematica 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

5 months

期刊介绍： The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.

期刊最新文献

A biparameter decomposition of Davis–Garsia type Embeddings between Lorentz sequence spaces are strictly but not finitely strictly singular Symmetric stable processes on amenable groups The $L^p$-to-$L^q$ compactness of commutators with $p \gt q$ $L^p$-boundedness of pseudo-differential operators on homogeneous trees