{"title":"The Meyer’s estimate of solutions to Zaremba problem for second-order elliptic equations in divergent form","authors":"Yu. A. Alkhutov, G. Chechkin","doi":"10.5802/CRMECA.87","DOIUrl":null,"url":null,"abstract":"In this paper we obtain an estimate for the increased integrability of the gradient of the solution to the Zaremba problem for divergent elliptic operator in a bounded domain with nontrivial capacity of the Dirichlet boundary conditions. Résumé. Dans cet article, nous obtenons une estimation de l’intégrabilité accrue du gradient de la solution du problème de Zaremba pour un opérateur elliptique divergent dans un domaine borné avec une capacité non triviale des conditions aux limites de Dirichlet. ∗Corresponding author. ISSN (electronic) : 1873-7234 https://comptes-rendus.academie-sciences.fr/mecanique/ 300 Yurij A. Alkhutov and Gregory A. Chechkin","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2021-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus Mecanique","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.5802/CRMECA.87","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper we obtain an estimate for the increased integrability of the gradient of the solution to the Zaremba problem for divergent elliptic operator in a bounded domain with nontrivial capacity of the Dirichlet boundary conditions. Résumé. Dans cet article, nous obtenons une estimation de l’intégrabilité accrue du gradient de la solution du problème de Zaremba pour un opérateur elliptique divergent dans un domaine borné avec une capacité non triviale des conditions aux limites de Dirichlet. ∗Corresponding author. ISSN (electronic) : 1873-7234 https://comptes-rendus.academie-sciences.fr/mecanique/ 300 Yurij A. Alkhutov and Gregory A. Chechkin
In this paper》(we estimate for the您每年会圣母圣母解决梯度to the Zaremba integrability elliptic运营商In a . for不一bounded domain with the nontrivial容量由Dirichlet边界条件。摘要。在本文中，我们估计了在具有非平凡狄利克雷边界条件的有界域上发散椭圆算子的Zaremba问题解的梯度可积性的增加。∗对应着作者。他的父亲是一名律师，母亲是一名律师，父亲是一名律师，母亲是一名律师。
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