{"title":"Maximum Principle and Existence of Weak Solutions for Nonlinear System Involving Singular (p,q)-Laplacian Operators","authors":"S. Khafagy","doi":"10.4208/JPDE.V29.N2.1","DOIUrl":null,"url":null,"abstract":"We investigate in this work necessary and sufficient conditions for having the maximum principle for nonlinear system involving singular (p,q)-Laplacian operators on bounded domain Ω of R^{N}. Moreover, we prove the existence of positive weak solutions by the Browder theorem method for the considered system","PeriodicalId":126811,"journal":{"name":"Journal of Progressive Research in Mathematics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Progressive Research in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4208/JPDE.V29.N2.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
We investigate in this work necessary and sufficient conditions for having the maximum principle for nonlinear system involving singular (p,q)-Laplacian operators on bounded domain Ω of R^{N}. Moreover, we prove the existence of positive weak solutions by the Browder theorem method for the considered system
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