一类奇异非线性的Lane-Emden-Fowler型问题

Q2 Mathematics Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI:10.1215/KJM/1256219159

D. Covei

{"title":"一类奇异非线性的Lane-Emden-Fowler型问题","authors":"D. Covei","doi":"10.1215/KJM/1256219159","DOIUrl":null,"url":null,"abstract":"The main purpose of this article is to establish the existence result concerning to the problem −Δu(x )+ c(x)u(x )= a(x)f (u(x)), x ∈ R N , N> 2, u(x) → 0a s|x |→∞ . Similary problems have been also studied. The proofs of the existence are based on the maximum principle and sub and super solutions method.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"A Lane-Emden-Fowler type problem with singular nonlinearity\",\"authors\":\"D. Covei\",\"doi\":\"10.1215/KJM/1256219159\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main purpose of this article is to establish the existence result concerning to the problem −Δu(x )+ c(x)u(x )= a(x)f (u(x)), x ∈ R N , N> 2, u(x) → 0a s|x |→∞ . Similary problems have been also studied. The proofs of the existence are based on the maximum principle and sub and super solutions method.\",\"PeriodicalId\":50142,\"journal\":{\"name\":\"Journal of Mathematics of Kyoto University\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics of Kyoto University\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1215/KJM/1256219159\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics of Kyoto University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1215/KJM/1256219159","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 8

摘要

本文的主要目的是建立关于−Δu(x)+ c(x)u(x)= a(x)f (u(x))， x∈rn, N >2, u(x)→0a s|x |→∞问题的存在性结果。类似的问题也被研究过。存在性的证明是基于极大值原理和上、下解方法。

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

A Lane-Emden-Fowler type problem with singular nonlinearity

The main purpose of this article is to establish the existence result concerning to the problem −Δu(x )+ c(x)u(x )= a(x)f (u(x)), x ∈ R N , N> 2, u(x) → 0a s|x |→∞ . Similary problems have been also studied. The proofs of the existence are based on the maximum principle and sub and super solutions method.

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

来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.