{"title":"一类非线性临界指数椭圆型问题的可解性","authors":"I. Kuzin","doi":"10.1070/SM1991V068N02ABEH002108","DOIUrl":null,"url":null,"abstract":"The problem is investigated, where is an open domain in , , is the critical exponent, and has a growth exponent less than the critical one.Theorems on the existence of a nontrivial solution of this problem is the space and spaces of more regular functions are proved under appropriate assumptions.Bibliography: 17 titles.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"SOLVABILITY OF SOME ELLIPTIC PROBLEMS WITH CRITICAL EXPONENT OF NONLINEARITY\",\"authors\":\"I. Kuzin\",\"doi\":\"10.1070/SM1991V068N02ABEH002108\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem is investigated, where is an open domain in , , is the critical exponent, and has a growth exponent less than the critical one.Theorems on the existence of a nontrivial solution of this problem is the space and spaces of more regular functions are proved under appropriate assumptions.Bibliography: 17 titles.\",\"PeriodicalId\":208776,\"journal\":{\"name\":\"Mathematics of The Ussr-sbornik\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-sbornik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/SM1991V068N02ABEH002108\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1991V068N02ABEH002108","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
SOLVABILITY OF SOME ELLIPTIC PROBLEMS WITH CRITICAL EXPONENT OF NONLINEARITY
The problem is investigated, where is an open domain in , , is the critical exponent, and has a growth exponent less than the critical one.Theorems on the existence of a nontrivial solution of this problem is the space and spaces of more regular functions are proved under appropriate assumptions.Bibliography: 17 titles.
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