{"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}
引用次数: 8
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.