SIGN-CHANGING SOLUTIONS FOR THE NONLINEAR SCHRODINGER-POISSON SYSTEM WITH CRITICAL GROWTH

作     者：邓引斌 帅伟 杨小龙 Yinbin DENG;Wei SHUAI;Xiaolong YANG

作者机构：School of Mathematics and Statistics&Hubei Key Laboratory of Mathematical SciencesCentral China Normal UniversityWuhan 430079China School of Mathematics and StatisticsCentral China Normal UniversityWuhan 430079China 

出 版 物：《数学物理学报:B辑英文版》 (Acta Mathematica Scientia)

年 卷 期：2023年第43卷第5期

页      面：2291-2308页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National NaturalScience Foundation of China(12071170,11961043,11931012,12271196) supported by the excellent doctoral dissertation cultivation grant(2022YBZZ034)from Central China Normal University。 

主　　题：Schrodinger-Poisson system ground state solution sign-changing solution critical growth 

摘      要：In this paper,we study the following Schrodinger-Poisson system with critical growth:■We establish the existence of a positive ground state solution and a least energy sign-changing solution,providing that the nonlinearity f is super-cubic,subcritical and that the potential V(x)has a potential well.