{"title":"(p, 2)-拉普拉斯Steklov问题的正解","authors":"A. Boukhsas, A. Zerouali, O. Chakrone, B. Karim","doi":"10.24193/mathcluj.2022.2.05","DOIUrl":null,"url":null,"abstract":"In this work, we study positive solutions of a Steklov problem driven by the (p,2)-Laplacian operator by using the variational method. A sufficient condition for the existence of positive solutions is characterized by the eigenvalues of a linear eigenvalue problem and another nonlinear eigenvalue problem.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Positive solutions for a (p, 2)-Laplacian Steklov problem\",\"authors\":\"A. Boukhsas, A. Zerouali, O. Chakrone, B. Karim\",\"doi\":\"10.24193/mathcluj.2022.2.05\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we study positive solutions of a Steklov problem driven by the (p,2)-Laplacian operator by using the variational method. A sufficient condition for the existence of positive solutions is characterized by the eigenvalues of a linear eigenvalue problem and another nonlinear eigenvalue problem.\",\"PeriodicalId\":39356,\"journal\":{\"name\":\"Mathematica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24193/mathcluj.2022.2.05\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/mathcluj.2022.2.05","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Positive solutions for a (p, 2)-Laplacian Steklov problem
In this work, we study positive solutions of a Steklov problem driven by the (p,2)-Laplacian operator by using the variational method. A sufficient condition for the existence of positive solutions is characterized by the eigenvalues of a linear eigenvalue problem and another nonlinear eigenvalue problem.
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