{"title":"涉及扩散氡测量数据和变指数的傅立叶边界条件的多值各向异性问题","authors":"Ibrahime Konaté, S. Ouaro","doi":"10.7151/DMDICO.1205","DOIUrl":null,"url":null,"abstract":"In this paper we study a nonlinear anisotropic elliptic problem under Robin type boundary condition governed by a general anisotropic operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(.)-capacity. We prove an existence and uniqueness result of entropy or renormalized solution.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multivalued anisotropic problem with Fourier boundary condition involving diffuse Radon measure data and variable exponents\",\"authors\":\"Ibrahime Konaté, S. Ouaro\",\"doi\":\"10.7151/DMDICO.1205\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we study a nonlinear anisotropic elliptic problem under Robin type boundary condition governed by a general anisotropic operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(.)-capacity. We prove an existence and uniqueness result of entropy or renormalized solution.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2018-11-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7151/DMDICO.1205\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7151/DMDICO.1205","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Multivalued anisotropic problem with Fourier boundary condition involving diffuse Radon measure data and variable exponents
In this paper we study a nonlinear anisotropic elliptic problem under Robin type boundary condition governed by a general anisotropic operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(.)-capacity. We prove an existence and uniqueness result of entropy or renormalized solution.