{"title":"一类边值条件含p(k)-拉普拉斯算子的差分方程无穷多个解的存在性","authors":"M. Khaleghi Moghadam, Lishan Liu","doi":"10.1080/23311835.2018.1428030","DOIUrl":null,"url":null,"abstract":"The existence of infinitely many solutions was investigated for an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary value condition. The technical approach is based on a local minimum theorem for differentiable functionals in finite dimensional space.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":"5 1","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23311835.2018.1428030","citationCount":"1","resultStr":"{\"title\":\"Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator\",\"authors\":\"M. Khaleghi Moghadam, Lishan Liu\",\"doi\":\"10.1080/23311835.2018.1428030\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The existence of infinitely many solutions was investigated for an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary value condition. The technical approach is based on a local minimum theorem for differentiable functionals in finite dimensional space.\",\"PeriodicalId\":92618,\"journal\":{\"name\":\"Cogent mathematics & statistics\",\"volume\":\"5 1\",\"pages\":\"\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2018-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/23311835.2018.1428030\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cogent mathematics & statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/23311835.2018.1428030\",\"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":"Cogent mathematics & statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/23311835.2018.1428030","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator
The existence of infinitely many solutions was investigated for an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary value condition. The technical approach is based on a local minimum theorem for differentiable functionals in finite dimensional space.
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