{"title":"Weighted Hardy's inequalities and the variational problem with compact perturbations","authors":"Hiroshi Ando, T. Horiuchi","doi":"10.5036/mjiu.52.15","DOIUrl":null,"url":null,"abstract":"Let Ω be a bounded domain of R N ( N (cid:21) 1) whose boundary @ Ω is a C 2 compact manifolds. In the present paper we shall study a variational problem relating the weighted Hardy inequalities established in [4]. As weights we adopt powers of the distance function (cid:14) ( x ) to the boundary @ Ω. study a","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"28 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Journal of Ibaraki University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5036/mjiu.52.15","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
Let Ω be a bounded domain of R N ( N (cid:21) 1) whose boundary @ Ω is a C 2 compact manifolds. In the present paper we shall study a variational problem relating the weighted Hardy inequalities established in [4]. As weights we adopt powers of the distance function (cid:14) ( x ) to the boundary @ Ω. study a
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