{"title":"Bifurcation results for a class of elliptic equations with a nonlocal reaction term and interior interface boundary conditions","authors":"Braulio B.V. Maia , Alânnio B. Nóbrega","doi":"10.1016/j.nonrwa.2024.104258","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we study a class of elliptic problems with a interior interface condition, which arise in population dynamics. In these problems, each population lives in a subdomain and they interact in a common border, which acts as a geographical barrier. The main novelty in our work is the presence of a nonlocal reaction terms. To obtain our results we employ mainly bifurcation methods.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"82 ","pages":"Article 104258"},"PeriodicalIF":1.8000,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Real World Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1468121824001974","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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Abstract
In this paper, we study a class of elliptic problems with a interior interface condition, which arise in population dynamics. In these problems, each population lives in a subdomain and they interact in a common border, which acts as a geographical barrier. The main novelty in our work is the presence of a nonlocal reaction terms. To obtain our results we employ mainly bifurcation methods.
期刊介绍：
Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems.
The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.
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