{"title":"用Browder-Minty定理研究一类非线性退化椭圆型问题解的存在唯一性","authors":"Mohamed El Ouaarabi, C. Allalou, S. Melliani","doi":"10.47443/cm.2022.001","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is to investigate the existence and uniqueness of weak solutions for a class of nonlinear degenerate elliptic problems of the form: where ν 1 , ν 2 , and ν 3 are A p -weight functions and the operators a , b and g are Carat´eodory functions that satisfy some certain conditions, and φ ∈ L p (cid:48) (Ω , ν 1 − p (cid:48) 1 ) . The approach used for attaining the mentioned purpose is based on the Browder-Minty theorem and the theory of weighted Sobolev spaces.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Existence and Uniqueness of Solutions for a Class of Nonlinear Degenerate Elliptic Problems via Browder-Minty Theorem\",\"authors\":\"Mohamed El Ouaarabi, C. Allalou, S. Melliani\",\"doi\":\"10.47443/cm.2022.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this paper is to investigate the existence and uniqueness of weak solutions for a class of nonlinear degenerate elliptic problems of the form: where ν 1 , ν 2 , and ν 3 are A p -weight functions and the operators a , b and g are Carat´eodory functions that satisfy some certain conditions, and φ ∈ L p (cid:48) (Ω , ν 1 − p (cid:48) 1 ) . The approach used for attaining the mentioned purpose is based on the Browder-Minty theorem and the theory of weighted Sobolev spaces.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-03-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.47443/cm.2022.001\",\"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/10.47443/cm.2022.001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Existence and Uniqueness of Solutions for a Class of Nonlinear Degenerate Elliptic Problems via Browder-Minty Theorem
The purpose of this paper is to investigate the existence and uniqueness of weak solutions for a class of nonlinear degenerate elliptic problems of the form: where ν 1 , ν 2 , and ν 3 are A p -weight functions and the operators a , b and g are Carat´eodory functions that satisfy some certain conditions, and φ ∈ L p (cid:48) (Ω , ν 1 − p (cid:48) 1 ) . The approach used for attaining the mentioned purpose is based on the Browder-Minty theorem and the theory of weighted Sobolev spaces.
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