{"title":"Multiple solutions to an elliptic problem driven by a singular nonlinearity","authors":"Debajyoti Choudhuri , Ratan Kr. Giri , K. Saoudi","doi":"10.1016/j.jde.2025.113263","DOIUrl":null,"url":null,"abstract":"<div><div>We will prove the existence of multiple solutions to an elliptic problem driven by a singular nonlinearity. Further we studied the singular problem and analyzed the regularity of the solutions.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"436 ","pages":"Article 113263"},"PeriodicalIF":2.4000,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022039625002906","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We will prove the existence of multiple solutions to an elliptic problem driven by a singular nonlinearity. Further we studied the singular problem and analyzed the regularity of the solutions.
期刊介绍:
The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools.
Research Areas Include:
• Mathematical control theory
• Ordinary differential equations
• Partial differential equations
• Stochastic differential equations
• Topological dynamics
• Related topics