{"title":"Semilinear Dirichlet problem for subordinate spectral Laplacian","authors":"I. Biočić","doi":"10.3934/cpaa.2023012","DOIUrl":null,"url":null,"abstract":"We study semilinear problems in bounded C1,1 domains for non-local operators with a boundary condition. The operators cover and extend the case of the spectral fractional Laplacian. We also study harmonic functions with respect to the nonlocal operator and boundary behaviour of Green and Poisson potentials. AMS 2020 Mathematics Subject Classification: Primary 35J61, 35R11; Secondary 35C15, 31B10, 31B25, 31C05, 60J35","PeriodicalId":10643,"journal":{"name":"Communications on Pure and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2022-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications on Pure and Applied Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3934/cpaa.2023012","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We study semilinear problems in bounded C1,1 domains for non-local operators with a boundary condition. The operators cover and extend the case of the spectral fractional Laplacian. We also study harmonic functions with respect to the nonlocal operator and boundary behaviour of Green and Poisson potentials. AMS 2020 Mathematics Subject Classification: Primary 35J61, 35R11; Secondary 35C15, 31B10, 31B25, 31C05, 60J35
期刊介绍：
CPAA publishes original research papers of the highest quality in all the major areas of analysis and its applications, with a central theme on theoretical and numeric differential equations. Invited expository articles are also published from time to time. It is edited by a group of energetic leaders to guarantee the journal''s highest standard and closest link to the scientific communities.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
