Positive solutions for a non-autonomous Schrödinger-Bopp-Podolsky system-Reference-Cited by-同舟云学术

Positive solutions for a non-autonomous Schrödinger-Bopp-Podolsky system

Published:2023-10-01 Issue:10 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Liu Jiu¹²^ORCID,Duan Yu³,Liao Jia-Feng⁴^ORCID,Pan Hui-Lan⁵

Affiliation:

1. School of Mathematics and Statistics, Qiannan Normal University for Nationalities Duyun 1 , Guizhou 558000, People’s Republic of China

2. Key Laboratory of Complex Systems and Intelligent Optimization of Guizhou Province Duyun 2 , Guizhou 558000, People’s Republic of China

3. College of Science, Guizhou University of Engineering Science Bijie 3 , Guizhou 551700, People’s Republic of China

4. College of Mathematics Education, China West Normal University 4 , Nanchong, Sichuan 637002, People’s Republic of China

5. School of Science, Chongqing University of Posts and Telecommunications 5 , Chongqing 400065, People’s Republic of China

Abstract

In the paper, by using the variational methods we study a non-autonomous Schrödinger-Bopp-Podolsky system, where a > 0, 3 < p < 4 are fixed, λ > 0 is a parameter, and the potentials V, Q satisfy appropriate assumptions. We give some existence results, depending on the parameter λ. Moreover the results are still valid for the classical Schrödinger-Poisson system.

Funder

National Natural Science Foundation of China

Bijie Scientific and Technological Program

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0159190/18164858/101507_1_5.0159190.pdf

Reference39 articles.

1. Nonlinear Schrödinger equation in the Bopp-Podolsky electrodynamics: Solutions in the electrostatic case;J. Differ. Equations,2019

2. Eine lineare theorie des elektrons;Ann. Phys.,1940

3. A generalized electrodynamics. I. Nonquantum;Phys. Rev.,1942

4. Grundlagen einer theorie der materie;Ann. Phys.,1913

5. Modified field equations with a finite radius of the electron;Nature,1933