{"title":"Analysis of positive solutions for classes of Laplacian systems with sign change weight functions and nonlinear boundary conditions","authors":"A. Shabanpour, S.H. Rasouli","doi":"10.1016/j.rinam.2024.100525","DOIUrl":null,"url":null,"abstract":"<div><div>We establish some results for positive solutions to class of Laplacian systems with positive parameter, sign change weight functions and nonlinear boundary conditions, in particular, we discuss the existence of positive solutions for a certain range of our parameter using the method of sub-super solutions. Additionally, we introduce novel conditions to ensure the existence of positive solutions for the given system.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"25 ","pages":"Article 100525"},"PeriodicalIF":1.4000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2590037424000955","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We establish some results for positive solutions to class of Laplacian systems with positive parameter, sign change weight functions and nonlinear boundary conditions, in particular, we discuss the existence of positive solutions for a certain range of our parameter using the method of sub-super solutions. Additionally, we introduce novel conditions to ensure the existence of positive solutions for the given system.
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