椭圆型方程在环空中多个正径向解的存在性

Communications in applied analysis Pub Date : 2018-11-14 DOI:10.12732/CAA.V22I4.12

Jaffar Ali, S. Padhi

{"title":"椭圆型方程在环空中多个正径向解的存在性","authors":"Jaffar Ali, S. Padhi","doi":"10.12732/CAA.V22I4.12","DOIUrl":null,"url":null,"abstract":"In this paper, we use Leggett-Williams multiple fixed point theorems to obtain sufficient conditions for the existence of at least one or two positive radial solutions of the equation −∆u = λg(|x|)f(u), R1 < |x| < R2, x ∈ RN , N ≥ 2 subject to a linear mixed boundary condition at R1 and R2. AMS Subject Classification: 35J08, 35J25, 35J57, 34K13, 34C10, 34C27","PeriodicalId":92887,"journal":{"name":"Communications in applied analysis","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"EXISTENCE OF MULTIPLE POSITIVE RADIAL SOLUTIONS TO ELLIPTIC EQUATIONS IN AN ANNULUS\",\"authors\":\"Jaffar Ali, S. Padhi\",\"doi\":\"10.12732/CAA.V22I4.12\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we use Leggett-Williams multiple fixed point theorems to obtain sufficient conditions for the existence of at least one or two positive radial solutions of the equation −∆u = λg(|x|)f(u), R1 < |x| < R2, x ∈ RN , N ≥ 2 subject to a linear mixed boundary condition at R1 and R2. AMS Subject Classification: 35J08, 35J25, 35J57, 34K13, 34C10, 34C27\",\"PeriodicalId\":92887,\"journal\":{\"name\":\"Communications in applied analysis\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-11-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in applied analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12732/CAA.V22I4.12\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in applied analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/CAA.V22I4.12","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 5

摘要

本文利用Leggett-Williams多重不动点定理得到了方程-∆u=λg（|x|）f（u），R1<|x|本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

EXISTENCE OF MULTIPLE POSITIVE RADIAL SOLUTIONS TO ELLIPTIC EQUATIONS IN AN ANNULUS

In this paper, we use Leggett-Williams multiple fixed point theorems to obtain sufficient conditions for the existence of at least one or two positive radial solutions of the equation −∆u = λg(|x|)f(u), R1 < |x| < R2, x ∈ RN , N ≥ 2 subject to a linear mixed boundary condition at R1 and R2. AMS Subject Classification: 35J08, 35J25, 35J57, 34K13, 34C10, 34C27

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助