David Krejcirik, Pier Domenico Lamberti, Michele Zaccaron
{"title":"关于矢量拉普拉斯不等式法布尔-克拉恩不等式失效的说明","authors":"David Krejcirik, Pier Domenico Lamberti, Michele Zaccaron","doi":"arxiv-2409.07206","DOIUrl":null,"url":null,"abstract":"We consider a natural eigenvalue problem for the vector Laplacian related to\nstationary Maxwell's equations in a cavity and we prove that an analog of the\ncelebrated Faber-Krahn inequality doesn't hold.","PeriodicalId":501373,"journal":{"name":"arXiv - MATH - Spectral Theory","volume":"30 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A note on the failure of the Faber-Krahn inequality for the vector Laplacian\",\"authors\":\"David Krejcirik, Pier Domenico Lamberti, Michele Zaccaron\",\"doi\":\"arxiv-2409.07206\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider a natural eigenvalue problem for the vector Laplacian related to\\nstationary Maxwell's equations in a cavity and we prove that an analog of the\\ncelebrated Faber-Krahn inequality doesn't hold.\",\"PeriodicalId\":501373,\"journal\":{\"name\":\"arXiv - MATH - Spectral Theory\",\"volume\":\"30 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Spectral Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.07206\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Spectral Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07206","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A note on the failure of the Faber-Krahn inequality for the vector Laplacian
We consider a natural eigenvalue problem for the vector Laplacian related to
stationary Maxwell's equations in a cavity and we prove that an analog of the
celebrated Faber-Krahn inequality doesn't hold.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
