{"title":"半线性双调和方程解的存在性","authors":"Hailong Qiu, R. An","doi":"10.3724/SP.J.1160.2012.00161","DOIUrl":null,"url":null,"abstract":"A class of semilinear bihaxmonic problem in a bounded convex domainΩR~d,d = 2,3,is considered.The nonlinear termφ(|▽u|) grows with |▽u|~p.In terms of Schaefer's fixed pointtheorem,as d = 2(or d = 3) and p satisfies 2≤p +∞(or 2≤p≤6),the solution exists and islocal uniqueness.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"161"},"PeriodicalIF":0.0000,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence of the Solution to Semilinear Biharmonic Equation\",\"authors\":\"Hailong Qiu, R. An\",\"doi\":\"10.3724/SP.J.1160.2012.00161\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A class of semilinear bihaxmonic problem in a bounded convex domainΩR~d,d = 2,3,is considered.The nonlinear termφ(|▽u|) grows with |▽u|~p.In terms of Schaefer's fixed pointtheorem,as d = 2(or d = 3) and p satisfies 2≤p +∞(or 2≤p≤6),the solution exists and islocal uniqueness.\",\"PeriodicalId\":62008,\"journal\":{\"name\":\"应用泛函分析学报\",\"volume\":\"14 1\",\"pages\":\"161\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"应用泛函分析学报\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.3724/SP.J.1160.2012.00161\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"应用泛函分析学报","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.3724/SP.J.1160.2012.00161","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Existence of the Solution to Semilinear Biharmonic Equation
A class of semilinear bihaxmonic problem in a bounded convex domainΩR~d,d = 2,3,is considered.The nonlinear termφ(|▽u|) grows with |▽u|~p.In terms of Schaefer's fixed pointtheorem,as d = 2(or d = 3) and p satisfies 2≤p +∞(or 2≤p≤6),the solution exists and islocal uniqueness.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
