{"title":"带传输项和奇异数据的非线性椭圆系统","authors":"Lucio Boccardo, Luigi Orsina, J. Ignacio Tello","doi":"10.1080/00036811.2024.2325450","DOIUrl":null,"url":null,"abstract":"We consider the nonlinear elliptic system {u∈W0NN−1(Ω):−div(M(x)∇u)+u=−div(uM(x)∇ψ)+f(x),ψ∈W01,2(Ω):−div(M(x)∇ψ)+ψ=R(u)+E(x)∇ψ, where Ω is a bounded, open subset of RN, N≥ 3; M(x) is a coercive, s...","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A nonlinear elliptic system with a transport term and singular data\",\"authors\":\"Lucio Boccardo, Luigi Orsina, J. Ignacio Tello\",\"doi\":\"10.1080/00036811.2024.2325450\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the nonlinear elliptic system {u∈W0NN−1(Ω):−div(M(x)∇u)+u=−div(uM(x)∇ψ)+f(x),ψ∈W01,2(Ω):−div(M(x)∇ψ)+ψ=R(u)+E(x)∇ψ, where Ω is a bounded, open subset of RN, N≥ 3; M(x) is a coercive, s...\",\"PeriodicalId\":55507,\"journal\":{\"name\":\"Applicable Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applicable Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00036811.2024.2325450\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applicable Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00036811.2024.2325450","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
A nonlinear elliptic system with a transport term and singular data
We consider the nonlinear elliptic system {u∈W0NN−1(Ω):−div(M(x)∇u)+u=−div(uM(x)∇ψ)+f(x),ψ∈W01,2(Ω):−div(M(x)∇ψ)+ψ=R(u)+E(x)∇ψ, where Ω is a bounded, open subset of RN, N≥ 3; M(x) is a coercive, s...
期刊介绍：
Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal
General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.
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