{"title":"Existence Results for fractional P-Laplacian Systems via Young Measures","authors":"Farah Balaadich, E. Azroul","doi":"10.3846/mma.2022.14452","DOIUrl":null,"url":null,"abstract":"In this paper, we show the existence result of the following fractional p-Laplacian system (−∆)spu = f(x,u) in Ω, u = 0 in Rn\\Ω, for a given datum f. The existence of weak solutions is obtained by using the theory of Young measures.","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":"95 1","pages":"232-241"},"PeriodicalIF":1.6000,"publicationDate":"2022-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Modelling and Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3846/mma.2022.14452","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we show the existence result of the following fractional p-Laplacian system (−∆)spu = f(x,u) in Ω, u = 0 in Rn\Ω, for a given datum f. The existence of weak solutions is obtained by using the theory of Young measures.
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