{"title":"临界增长渐近周期Schrödinger-Poisson系统的基态","authors":"Hui Zhang, Junxiang Xu, Fubao Zhang, Miao Du","doi":"10.2478/s11533-014-0426-x","DOIUrl":null,"url":null,"abstract":"For a class of asymptotically periodic Schrödinger-Poisson systems with critical growth, the existence of ground states is established. The proof is based on the method of Nehari manifold and concentration compactness principle.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"193 1","pages":"1484-1499"},"PeriodicalIF":0.0000,"publicationDate":"2014-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth\",\"authors\":\"Hui Zhang, Junxiang Xu, Fubao Zhang, Miao Du\",\"doi\":\"10.2478/s11533-014-0426-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For a class of asymptotically periodic Schrödinger-Poisson systems with critical growth, the existence of ground states is established. The proof is based on the method of Nehari manifold and concentration compactness principle.\",\"PeriodicalId\":50988,\"journal\":{\"name\":\"Central European Journal of Mathematics\",\"volume\":\"193 1\",\"pages\":\"1484-1499\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Central European Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/s11533-014-0426-x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Central European Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/s11533-014-0426-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth
For a class of asymptotically periodic Schrödinger-Poisson systems with critical growth, the existence of ground states is established. The proof is based on the method of Nehari manifold and concentration compactness principle.
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