{"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":"49 1","pages":"325-338"},"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}
引用次数: 8
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.
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.
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