{"title":"具有指数临界增长的分数 P-Laplacian 方程的归一化解法","authors":"Ling Huang, Hangxin Wen, Jianjun Zhang, Xuexiu Zhong","doi":"10.1080/17476933.2024.2394876","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the existence of solution to the fractional p-Laplacian equation (−Δ)psu+λ|u|p−2u=f(u)in RN,N≥2,u∈Ws,p(RN), satisfying the normalization constraint ∫RN|u|pdx=cp, whe...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"17 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Normalized solutions for the fractional P-Laplacian equation with exponential critical growth\",\"authors\":\"Ling Huang, Hangxin Wen, Jianjun Zhang, Xuexiu Zhong\",\"doi\":\"10.1080/17476933.2024.2394876\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the existence of solution to the fractional p-Laplacian equation (−Δ)psu+λ|u|p−2u=f(u)in RN,N≥2,u∈Ws,p(RN), satisfying the normalization constraint ∫RN|u|pdx=cp, whe...\",\"PeriodicalId\":51229,\"journal\":{\"name\":\"Complex Variables and Elliptic Equations\",\"volume\":\"17 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-09-04\",\"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/10.1080/17476933.2024.2394876\",\"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/10.1080/17476933.2024.2394876","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Normalized solutions for the fractional P-Laplacian equation with exponential critical growth
In this paper, we investigate the existence of solution to the fractional p-Laplacian equation (−Δ)psu+λ|u|p−2u=f(u)in RN,N≥2,u∈Ws,p(RN), satisfying the normalization constraint ∫RN|u|pdx=cp, whe...
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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