{"title":"On the Existence and Uniqueness of Positive Solution for a Degenerate Reaction-Diffusion Problem","authors":"Khaoula Imane Saffidine, Salim Mesbahi","doi":"10.1109/ICRAMI52622.2021.9585992","DOIUrl":null,"url":null,"abstract":"The objective of this paper is to show the existence and uniqueness of positive solutions for a class of quasilinear degenerate parabolic reaction-diffusion problems defined in a bounded domain, which have many applications in various applied sciences. Its specificity lies in the introduction of degenerate diffusion. Our approach towards our goal is mainly based on the method of upper and lower solutions. The result obtained is applied to the Lotka-Volterra model.","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICRAMI52622.2021.9585992","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The objective of this paper is to show the existence and uniqueness of positive solutions for a class of quasilinear degenerate parabolic reaction-diffusion problems defined in a bounded domain, which have many applications in various applied sciences. Its specificity lies in the introduction of degenerate diffusion. Our approach towards our goal is mainly based on the method of upper and lower solutions. The result obtained is applied to the Lotka-Volterra model.
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