{"title":"论具有临界指数增长的分数基尔霍夫方程正解的存在性和集中性","authors":"Ruichang Pei, Jihui Zhang","doi":"10.1080/17476933.2023.2296102","DOIUrl":null,"url":null,"abstract":"In this paper we consider the following fractional Kirchhoff type problem {(ϵa+ϵb2π∫R2|u(x)−u(y)|2|x−y|2dxdy)(−Δ)12u+V(x)u=f(u)in R,u∈H1/2(R),u>0in R, where ϵ is a positive parameter and a,b>0 ar...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"30 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On existence and concentration of positive solutions for a fractional Kirchhoff equation with critical exponential growth\",\"authors\":\"Ruichang Pei, Jihui Zhang\",\"doi\":\"10.1080/17476933.2023.2296102\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we consider the following fractional Kirchhoff type problem {(ϵa+ϵb2π∫R2|u(x)−u(y)|2|x−y|2dxdy)(−Δ)12u+V(x)u=f(u)in R,u∈H1/2(R),u>0in R, where ϵ is a positive parameter and a,b>0 ar...\",\"PeriodicalId\":51229,\"journal\":{\"name\":\"Complex Variables and Elliptic Equations\",\"volume\":\"30 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-12-27\",\"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/10.1080/17476933.2023.2296102\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables and Elliptic Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/17476933.2023.2296102","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
摘要
本文考虑以下分数基尔霍夫类型问题 {(ϵa+ϵb2π∫R2|u(x)-u(y)|2|x-y|2dxdy)(-Δ)12u+V(x)u=f(u)in R,u∈H1/2(R),u>0 in R, 其中ϵ为正参数,a,b>0 为...
On existence and concentration of positive solutions for a fractional Kirchhoff equation with critical exponential growth
In this paper we consider the following fractional Kirchhoff type problem {(ϵa+ϵb2π∫R2|u(x)−u(y)|2|x−y|2dxdy)(−Δ)12u+V(x)u=f(u)in R,u∈H1/2(R),u>0in R, where ϵ is a positive parameter and a,b>0 ar...
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.