{"title":"A free boundary problem for discontinuous semilinear elliptic equations in convex ring","authors":"Sabri Bensid","doi":"10.1080/17476933.2024.2303440","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the following free boundary problem: (P){Δu=λϕ(x)∑i=1nH(u−μi)inΩ=Ω2∖Ω¯1,u=0on∂Ω2,u=Mon∂Ω1. The domain Ω is a convex ring where Ω1 and Ω2 are bounded convex domains in R...","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/17476933.2024.2303440","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we consider the following free boundary problem: (P){Δu=λϕ(x)∑i=1nH(u−μi)inΩ=Ω2∖Ω¯1,u=0on∂Ω2,u=Mon∂Ω1. The domain Ω is a convex ring where Ω1 and Ω2 are bounded convex domains in R...