Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity

Published:2016-01-27 Issue:1 Volume:16 Page:15-30
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Zhang Jianjun¹,do Ó João Marcos²,Squassina Marco³

Affiliation:

1. College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074; and Chern Institute of Mathematics, Nankai University, Tianjin 300071, P. R. China

2. Departamento de Matemática, Universidade Federal de Paraíba, 58051-900 João Pessoa, PB, Brazil

3. Università degli Studi di Verona, Cà Vignal 2, Strada Le Grazie 15, 37134 Verona, Italy

Abstract

Abstract We consider a fractional Schrödinger–Poisson system with a general nonlinearity in the subcritical and critical case. The Ambrosetti–Rabinowitz condition is not required. By using a perturbation approach, we prove the existence of positive solutions. Moreover, we study the asymptotics of solutions for a vanishing parameter.

Funder

INCTmat/MCT/Brazil

CPSF

CAPES/Brazil

CNPq

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2015-5024/pdf

Reference40 articles.

1. Alves C. O., Souto M. A. S. and Montenegro M., Existence of a ground state solution for a nonlinear scalar field equation with critical growth, Calc. Var. Partial Differential Equations 43 (2012), no. 3–4, 537–554.

2. Ambrosetti A., On Schrödinger–Poisson systems, Milan J. Math. 76 (2008), 257–274.

3. Applebaum D., Lévy processes. From probability theory to finance and quantum groups, Notices Amer. Math. Soc. 51 (2004), no. 11, 1320–1331.

4. Azzollini A., d’Avenia P. and Pomponio A., On the Schrödinger–Maxwell equations under the effect of a general nonlinear term, Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 2, 779–791.

5. Azzollini A. and Pomponio A., Ground state solutions for the nonlinear Schrödinger–Maxwell equations, J. Math. Anal. Appl. 345 (2008), no. 1, 90–108.

Cited by 116 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential;Fractal and Fractional;2024-09-10

2. Non-trivial solutions for the fractional Schrödinger–Poisson system with p-Laplacian;Asymptotic Analysis;2024-09-04

3. Multiple bound states for a class of fractional critical Schrödinger–Poisson systems with critical frequency;Journal of Mathematical Physics;2024-07-01

4. Normalized solutions for a fractional Schrödinger–Poisson system with critical growth;Calculus of Variations and Partial Differential Equations;2024-06-14

5. Normalized ground states for the fractional Schrödinger–Poisson system with critical nonlinearities;Calculus of Variations and Partial Differential Equations;2024-03-02

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号京ICP备18003416号-3