{"title":"具有奇异临界指数非线性的基尔霍夫型抛物线问题的渐近论","authors":"Tahir Boudjeriou","doi":"10.1002/mana.202200319","DOIUrl":null,"url":null,"abstract":"<p>The main objective of this paper is to characterize stable sets based on the asymptotic behavior of solutions as <span></span><math>\n <semantics>\n <mi>t</mi>\n <annotation>$t$</annotation>\n </semantics></math> goes to infinity for the following class of parabolic Kirchhoff equations:\n\n </p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Asymptotics for a parabolic problem of Kirchhoff type with singular critical exponential nonlinearity\",\"authors\":\"Tahir Boudjeriou\",\"doi\":\"10.1002/mana.202200319\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The main objective of this paper is to characterize stable sets based on the asymptotic behavior of solutions as <span></span><math>\\n <semantics>\\n <mi>t</mi>\\n <annotation>$t$</annotation>\\n </semantics></math> goes to infinity for the following class of parabolic Kirchhoff equations:\\n\\n </p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-04-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/mana.202200319\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/mana.202200319","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Asymptotics for a parabolic problem of Kirchhoff type with singular critical exponential nonlinearity
The main objective of this paper is to characterize stable sets based on the asymptotic behavior of solutions as goes to infinity for the following class of parabolic Kirchhoff equations: