{"title":"On a semilinear fourth order elliptic problem with asymmetric nonlinearity","authors":"Fabiana Ferreira, E. Medeiros, Wallisom Rosa","doi":"10.12775/tmna.2022.028","DOIUrl":null,"url":null,"abstract":"In this work, we address the existence of solutions for a biharmonic elliptic equation \nwith homogeneous Navier boundary condition. The problem is asymmetric and has linear behavior on $-\\infty$ and superlinear on $+\\infty$. \nTo obtain the results we apply topological methods.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2022-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topological Methods in Nonlinear Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12775/tmna.2022.028","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, we address the existence of solutions for a biharmonic elliptic equation
with homogeneous Navier boundary condition. The problem is asymmetric and has linear behavior on $-\infty$ and superlinear on $+\infty$.
To obtain the results we apply topological methods.
期刊介绍：
Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.
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