{"title":"一类变符号非线性和缺乏严格凸性问题的极大极小解","authors":"Paola Magrone","doi":"10.4418/2014.69.2.14","DOIUrl":null,"url":null,"abstract":"A result of existence of a nonnegative and a nontrivial solution is proved via critical point theorems for non smooth functionals. The equation considered presents a convex part and a nonlinearity which changes sign.","PeriodicalId":107618,"journal":{"name":"Le Matematiche","volume":"69 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity\",\"authors\":\"Paola Magrone\",\"doi\":\"10.4418/2014.69.2.14\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A result of existence of a nonnegative and a nontrivial solution is proved via critical point theorems for non smooth functionals. The equation considered presents a convex part and a nonlinearity which changes sign.\",\"PeriodicalId\":107618,\"journal\":{\"name\":\"Le Matematiche\",\"volume\":\"69 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-10-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Le Matematiche\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4418/2014.69.2.14\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Le Matematiche","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4418/2014.69.2.14","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity
A result of existence of a nonnegative and a nontrivial solution is proved via critical point theorems for non smooth functionals. The equation considered presents a convex part and a nonlinearity which changes sign.
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