Ground state solution for a class of Choquard equation with indefinite periodic potential

被引：4

作者：

Chen, Fulai ^{[1
]}

Liao, Fangfang ^{[1
]}

Geng, Shifeng ^{[2
]}

机构：

[1] Xiangnan Univ, Sch Math & Informat Sci, Chenzhou 423000, Hunan, Peoples R China

[2] Xiangtan Univ, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 132卷

关键词：

Choquard equation; Ground state solutions; Strongly indefinite functional; HAMILTONIAN ELLIPTIC SYSTEM; EXISTENCE;

D O I：

10.1016/j.aml.2022.108205

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a class of nonlinear Choquard equation with potential. We assume the potential satisfies general indefinite periodic condition, so the Schrodinger operator has purely continuous spectrum and the associate energy functional is strongly indefinite. Applying the generalized Nehari manifold method developed by Szulkin and Weth, we prove the existence of ground state solution.(c) 2022 Elsevier Ltd. All rights reserved.

引用

页数：8

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