Nikolaos S. Papageorgiou, Vicentiu D. Rădulescu, Dušan D. Repovš
{"title":"Positive solutions for nonvariational Robin problems","authors":"Nikolaos S. Papageorgiou, Vicentiu D. Rădulescu, Dušan D. Repovš","doi":"10.3233/ASY-181464","DOIUrl":null,"url":null,"abstract":"We study a nonlinear Robin problem driven by the $p$-Laplacian and with a reaction term depending on the gradient (the convection term). Using the theory of nonlinear operators of monotone-type and the asymptotic analysis of a suitable perturbation of the original equation, we show the existence of a positive smooth solution.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"365 1","pages":"243-255"},"PeriodicalIF":0.0000,"publicationDate":"2018-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asymptot. Anal.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3233/ASY-181464","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
We study a nonlinear Robin problem driven by the $p$-Laplacian and with a reaction term depending on the gradient (the convection term). Using the theory of nonlinear operators of monotone-type and the asymptotic analysis of a suitable perturbation of the original equation, we show the existence of a positive smooth solution.
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