Normalized Ground State Solutions of Nonlinear Choquard Equations with Nonconstant Potential

作     者：LI Nan ZHAO Hui-yan XU Li-ping 李楠;赵慧燕;许丽萍

作者机构：School of Mathematics and StatisticsHenan University of Science and TechnologyLuoyang 471023China 

出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊（英文版）)

年 卷 期：2024年第39卷第3期

页      面：250-261页

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

基　　金：Supported by National Natural Science Foundation of China(Grant Nos.11671403 and 11671236) Henan Provincial General Natural Science Foundation Project(Grant No.232300420113) National Natural Science Foundation of China Youth Foud of China Youth Foud(Grant No.12101192) 

主　　题：Choquard equation Nonconstant potential function Normalized ground state solutions Variational methods 

摘      要：In this paper,we mainly focus on the following Choquard equation-{△u-V(x)(I_(a*)|u|^(p))|u|^(p-2)u=λu,x∈R^(N),u∈H^(1)(R^(N))where N≥1,λ∈R will arise as a Lagrange multiplier,0aN and N+a/NpN+a+2/N Under appropriate hypotheses on V(x),we prove that the above Choquard equation has a normalized ground state solution by utilizing variational methods.