{"title":"p -拉普拉斯型椭圆系","authors":"Farah Balaadich, E. Azroul","doi":"10.5556/J.TKJM.53.2022.3296","DOIUrl":null,"url":null,"abstract":"We prove an existence result for solutions of nonlinear p-Laplacian systems with data in generalized form: { −divΦ(Du−Θ(u)) = f(x, u,Du) in Ω u = 0 on ∂Ω by the theory of Young measures.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2021-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Elliptic Systems of $p$-Laplacian Type\",\"authors\":\"Farah Balaadich, E. Azroul\",\"doi\":\"10.5556/J.TKJM.53.2022.3296\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove an existence result for solutions of nonlinear p-Laplacian systems with data in generalized form: { −divΦ(Du−Θ(u)) = f(x, u,Du) in Ω u = 0 on ∂Ω by the theory of Young measures.\",\"PeriodicalId\":45776,\"journal\":{\"name\":\"Tamkang Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-04-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tamkang Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5556/J.TKJM.53.2022.3296\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tamkang Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5556/J.TKJM.53.2022.3296","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 5
摘要
利用杨氏测度理论证明了在∂Ω上的Ω u = 0中数据为广义形式{−divΦ(Du−Θ(u)) = f(x, u,Du)的非线性p-拉普拉斯系统解的存在性。
We prove an existence result for solutions of nonlinear p-Laplacian systems with data in generalized form: { −divΦ(Du−Θ(u)) = f(x, u,Du) in Ω u = 0 on ∂Ω by the theory of Young measures.
期刊介绍：
To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.
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