{"title":"一类具有非对称非线性的半线性四阶椭圆型问题","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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-12-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12775/tmna.2022.028\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12775/tmna.2022.028","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On a semilinear fourth order elliptic problem with asymmetric nonlinearity
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.
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