{"title":"奇异准线性椭圆问题正解的全局结构","authors":"Ruyun Ma, Lijuan Yang","doi":"10.1080/17476933.2023.2299717","DOIUrl":null,"url":null,"abstract":"We are concerned with the existence of positive solutions for the quasilinear problem (P) {−Δpu=λK(|x|)f(u),x∈RN∖B(r0), g~1(u)u−a1∇u⋅x|x|→0,|x|→∞,g~2(u)u+a2∂u∂n=0,x∈∂B(r0), where Δps=div(|∇s|p−2...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"16 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global structure of positive solutions for a singular quasilinear elliptic problem\",\"authors\":\"Ruyun Ma, Lijuan Yang\",\"doi\":\"10.1080/17476933.2023.2299717\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We are concerned with the existence of positive solutions for the quasilinear problem (P) {−Δpu=λK(|x|)f(u),x∈RN∖B(r0), g~1(u)u−a1∇u⋅x|x|→0,|x|→∞,g~2(u)u+a2∂u∂n=0,x∈∂B(r0), where Δps=div(|∇s|p−2...\",\"PeriodicalId\":51229,\"journal\":{\"name\":\"Complex Variables and Elliptic Equations\",\"volume\":\"16 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-04-17\",\"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/10.1080/17476933.2023.2299717\",\"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/10.1080/17476933.2023.2299717","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Global structure of positive solutions for a singular quasilinear elliptic problem
We are concerned with the existence of positive solutions for the quasilinear problem (P) {−Δpu=λK(|x|)f(u),x∈RN∖B(r0), g~1(u)u−a1∇u⋅x|x|→0,|x|→∞,g~2(u)u+a2∂u∂n=0,x∈∂B(r0), where Δps=div(|∇s|p−2...
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.