{"title":"Estimating potential functions with applications to elliptic problems in half space","authors":"Saber Ezzdini, Zagharide Zine El Abidine","doi":"10.1080/17476933.2024.2341768","DOIUrl":null,"url":null,"abstract":"We first derive sharp estimates on some potential functions on the half space R+n:={x=(x1,…,xn)∈Rn;xn>0}, n≥3. Then, these estimates are applied to demonstrate the existence of a positive solution...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"15 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-04-28","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/10.1080/17476933.2024.2341768","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
We first derive sharp estimates on some potential functions on the half space R+n:={x=(x1,…,xn)∈Rn;xn>0}, n≥3. Then, these estimates are applied to demonstrate the existence of a positive solution...
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.
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