Infinitely many distributional solutions to a general kind of nonlinear fractional Schrodinger-Poisson systems

被引：0

作者：

Boutebba, Hamza ^{[1
]}

Lakhal, Hakim ^{[1
]}

Slimani, Kamel ^{[1
]}

机构：

[1] Univ 20 August 1955, Dept Math, Lab Appl Math & Hist & Didact Math LAMAHIS, POB 26, Skikda 21000, Algeria

来源：

JOURNAL OF ANALYSIS | 2024年 / 32卷 / 02期

关键词：

Fractional Schrodinger-Poisson systems; Distributional solutions; Variational methods; Fountain theorem; EXISTENCE;

D O I：

10.1007/s41478-023-00674-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider a general kind of nonlinear fractional Schrodinger-Poisson systems. Under certain appropriate assumptions imposed on g, V and K, we prove the existence of infinitely many distributional solutions for any lambda>0 using the fountain theorem. Some new results are acquired which extend the related conclusion on this topic.

引用

页码：1079 / 1091

页数：13

共 50 条

[21] Infinitely many high energy radial solutions for a class of nonlinear Schrodinger-Poisson systems in R3
Khoutir, Sofiane
APPLIED MATHEMATICS LETTERS, 2019, 90 : 139 - 145
[22] Infinitely Many Solutions of Schrodinger-Poisson Equations with Critical and Sublinear Terms
Yao, Xianzhong
Li, Xia
Zhang, Fuchen
Mu, Chunlai
ADVANCES IN MATHEMATICAL PHYSICS, 2019, 2019
[23] GROUNDSTATES AND INFINITELY MANY SOLUTIONS FOR THE SCHRODINGER-POISSON EQUATION WITH MAGNETIC FIELD
Wen, Lixi
Zhang, Wen
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023, 16 (06): : 1686 - 1700
[24] Infinitely many high energy radial solutions for Schrodinger-Poisson system
Wang, Yi-Nuo
Wu, Xing-Ping
Tang, Chun-Lei
APPLIED MATHEMATICS LETTERS, 2020, 100
[25] GROUNDSTATES AND INFINITELY MANY SOLUTIONS FOR THE SCHRODINGER-POISSON EQUATION WITH MAGNETIC FIELD
Wen, Lixi
Zhang, Wen
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022,
[26] INFINITELY MANY SOLUTIONS FOR A SCHRODINGER-POISSON SYSTEM WITH CONCAVE AND CONVEX NONLINEARITIES
Sun, Mingzheng
Su, Jiabao
Zhao, Leiga
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (01) : 427 - 440
[27] Existence of infinitely many small solutions for fractional Schrodinger-Poisson systems with sign-changing potential and local nonlinearity
Xiu, Zonghu
Li, Shengjun
Wang, Zhigang
AIMS MATHEMATICS, 2020, 5 (06): : 6902 - +
[28] Multibump solutions for nonlinear Schrodinger-Poisson systems
Yu, Mingzhu
Chen, Haibo
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (07) : 4518 - 4529
[29] INFINITELY MANY SOLUTIONS OF THE NONLINEAR FRACTIONAL SCHRODINGER EQUATIONS
Du, Miao
Tian, Lixin
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2016, 21 (10): : 3407 - 3428
[30] Ground states for nonlinear fractional Schrodinger-Poisson systems with general convolution nonlinearities
Yang, Jie
Liu, Lintao
Chen, Haibo
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (16) : 17581 - 17606

← 1 2 3 4 5 →