{"title":"On the weighted rearrangement of functions and degenerate nonlinear elliptic equations","authors":"Hiroshi Ando, T. Horiuchi","doi":"10.5036/MJIU.44.17","DOIUrl":null,"url":null,"abstract":"Let Ω be a bounded domain of R n . We shall deal with boundary value problems of the following form . (0.1) Here α > 1 − n , u is the relevant solution, ∇ u is its gradient and H is a given real-valued function. Under proper assumptions a pri-ori estimates of solutions u to the problem (0.1) are established by virtue of weighted rearrangement of functions and weighted","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"29 1","pages":"17-31"},"PeriodicalIF":0.0000,"publicationDate":"2012-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Journal of Ibaraki University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5036/MJIU.44.17","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
Let Ω be a bounded domain of R n . We shall deal with boundary value problems of the following form . (0.1) Here α > 1 − n , u is the relevant solution, ∇ u is its gradient and H is a given real-valued function. Under proper assumptions a pri-ori estimates of solutions u to the problem (0.1) are established by virtue of weighted rearrangement of functions and weighted
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