Normalized Ground State Solutions of Nonlinear Choquard Equations with Nonconstant Potential

扫码查看

原文链接

万方数据
维普

外文摘要：In this paper,we mainly focus on the following Choquard equation{-Δu-V(x)(Iα*|u|p)|u|p-2u=λu,x∈RN,u∈H1(RN),where N≥1,λ ∈ R will arise as a Lagrange multiplier,0＜α＜N and N+α/N＜p＜N+α+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.

外文关键词：

Choquard equationNonconstant potential functionNormalized ground state solutionsVariational methods

作者：

LI Nan、ZHAO Hui-yan、XU Li-ping

展开 >

作者单位：

School of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471023,China

基金：

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaHenan Provincial General Natural Science Foundation ProjectNational Natural Science Foundation of China Youth Foud of China Youth Foud

项目编号：

116714031167123623230042011312101192

出版年：

2024

DOI：

10.13371/j.cnki.chin.q.j.m.2024.03.003

数学季刊(英文版)

河南大学

数学季刊(英文版)

影响因子：0.201

ISSN：1002-0462

年,卷(期)：2024.39(3)