{"title":"一类半正子非线性椭圆型方程在R^{n}有界域中的非负解","authors":"Imed Bachar, Habib M�agli, H. Eltayeb","doi":"10.7494/opmath.2022.42.6.793","DOIUrl":null,"url":null,"abstract":"In this paper, we obtain sufficient conditions for the existence of a unique nonnegative continuous solution of semipositone semilinear elliptic problem in bounded domains of \\(\\mathbb{R}^n\\) (\\(n\\geq 2\\)). The global behavior of this solution is also given.","PeriodicalId":45563,"journal":{"name":"Opuscula Mathematica","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Nonnegative solutions for a class of semipositone nonlinear elliptic equations in bounded domains of R^{n}\",\"authors\":\"Imed Bachar, Habib M�agli, H. Eltayeb\",\"doi\":\"10.7494/opmath.2022.42.6.793\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we obtain sufficient conditions for the existence of a unique nonnegative continuous solution of semipositone semilinear elliptic problem in bounded domains of \\\\(\\\\mathbb{R}^n\\\\) (\\\\(n\\\\geq 2\\\\)). The global behavior of this solution is also given.\",\"PeriodicalId\":45563,\"journal\":{\"name\":\"Opuscula Mathematica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Opuscula Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7494/opmath.2022.42.6.793\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Opuscula Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7494/opmath.2022.42.6.793","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Nonnegative solutions for a class of semipositone nonlinear elliptic equations in bounded domains of R^{n}
In this paper, we obtain sufficient conditions for the existence of a unique nonnegative continuous solution of semipositone semilinear elliptic problem in bounded domains of \(\mathbb{R}^n\) (\(n\geq 2\)). The global behavior of this solution is also given.