{"title":"A nonlocal elliptic system with nonlinear singular terms","authors":"Kheireddine Biroud","doi":"10.1080/17476933.2024.2382791","DOIUrl":null,"url":null,"abstract":"In this work we deal with the nonlocal elliptic system: (S){(−Δ)s1u=θvqu1−θin Ω,(−Δ)s2v=qvq−1uθin Ω,u=v=0in RN∖Ω,u,v>0in Ω, where Ω⊂RN is a bounded regular domain (C2 is sufficient), N>2s2, s1,s2...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables and Elliptic Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/17476933.2024.2382791","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this work we deal with the nonlocal elliptic system: (S){(−Δ)s1u=θvqu1−θin Ω,(−Δ)s2v=qvq−1uθin Ω,u=v=0in RN∖Ω,u,v>0in Ω, where Ω⊂RN is a bounded regular domain (C2 is sufficient), N>2s2, s1,s2...
期刊介绍:
Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds.
The Journal was formally published as Complex Variables Theory and Application.