{"title":"基本特征值的障碍问题","authors":"B. Mohamed, Y. Abdelhaye","doi":"10.12732/ijam.v31i4.7","DOIUrl":null,"url":null,"abstract":"By using the tools of derivatives with respect to the domain and the Bernoulli’s free boundary problem for Laplacian operator we give sufficient conditions in the case of placement obstacle problems for Laplacian Dirichlet eigenvalue. AMS Subject Classification: 48A60, 49A80, 83Q15, 59K46, 95C41, 59N55","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"39 1","pages":"613-625"},"PeriodicalIF":0.0000,"publicationDate":"2018-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"THE PROBLEM OF OBSTACLE FOR THE FUNDAMENTAL EIGENVALUE\",\"authors\":\"B. Mohamed, Y. Abdelhaye\",\"doi\":\"10.12732/ijam.v31i4.7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By using the tools of derivatives with respect to the domain and the Bernoulli’s free boundary problem for Laplacian operator we give sufficient conditions in the case of placement obstacle problems for Laplacian Dirichlet eigenvalue. AMS Subject Classification: 48A60, 49A80, 83Q15, 59K46, 95C41, 59N55\",\"PeriodicalId\":14365,\"journal\":{\"name\":\"International journal of pure and applied mathematics\",\"volume\":\"39 1\",\"pages\":\"613-625\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-08-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International journal of pure and applied mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12732/ijam.v31i4.7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of pure and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/ijam.v31i4.7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
THE PROBLEM OF OBSTACLE FOR THE FUNDAMENTAL EIGENVALUE
By using the tools of derivatives with respect to the domain and the Bernoulli’s free boundary problem for Laplacian operator we give sufficient conditions in the case of placement obstacle problems for Laplacian Dirichlet eigenvalue. AMS Subject Classification: 48A60, 49A80, 83Q15, 59K46, 95C41, 59N55