{"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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-12-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/17476933.2023.2296102\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/17476933.2023.2296102","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","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...
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