{"title":"分数阶p -拉普拉斯系统的Young测度存在性结果","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":"{\"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}","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}
Existence Results for fractional P-Laplacian Systems via Young Measures
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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