{"title":"Liouville theorem for Hénon-type bi-harmonic Choquard equation in","authors":"Haiyang He, Xiao Li","doi":"10.1080/17476933.2024.2375562","DOIUrl":null,"url":null,"abstract":"In this paper, our purpose is to study the following Hénon-type Bi-harmonic Choquard equation (1) Δ2u=∫RN|x|α|y|αup(y)|x−y|N−μdyup−1,inRN, where α>0,0<μ<N. Let N = 5 and 2<p<5+2α+μ, we will show...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"21 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-09-12","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/10.1080/17476933.2024.2375562","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 paper, our purpose is to study the following Hénon-type Bi-harmonic Choquard equation (1) Δ2u=∫RN|x|α|y|αup(y)|x−y|N−μdyup−1,inRN, where α>0,0<μ
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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