Detail publikačního výsledku

Groundstates of the planar Schrodinger-Poisson system with potential well and lack of symmetry

LIU, Z.; RADULESCU, V.; ZHANG, J.

Originální název

Groundstates of the planar Schrodinger-Poisson system with potential well and lack of symmetry

Anglický název

Groundstates of the planar Schrodinger-Poisson system with potential well and lack of symmetry

Druh

Článek WoS

Originální abstrakt

The Schrodinger-Poisson system describes standing waves for the nonlinear Schrodinger equation interacting with the electrostatic field. In this paper, we are concerned with the existence of positive ground states to the planar Schrodinger-Poisson system with a nonlinearity having either a subcritical or a critical exponential growth in the sense of Trudinger-Moser. A feature of this paper is that neither the finite steep potential nor the reaction satisfies any symmetry or periodicity hypotheses. The analysis developed in this paper seems to be the first attempt in the study of planar Schrodinger-Poisson systems with lack of symmetry.

Anglický abstrakt

The Schrodinger-Poisson system describes standing waves for the nonlinear Schrodinger equation interacting with the electrostatic field. In this paper, we are concerned with the existence of positive ground states to the planar Schrodinger-Poisson system with a nonlinearity having either a subcritical or a critical exponential growth in the sense of Trudinger-Moser. A feature of this paper is that neither the finite steep potential nor the reaction satisfies any symmetry or periodicity hypotheses. The analysis developed in this paper seems to be the first attempt in the study of planar Schrodinger-Poisson systems with lack of symmetry.

Klíčová slova

Schrodinger-Poisson system;exponential growth;ground statelack of symmetry;variational methods

Klíčová slova v angličtině

Schrodinger-Poisson system;exponential growth;ground statelack of symmetry;variational methods

Autoři

LIU, Z.; RADULESCU, V.; ZHANG, J.

Rok RIV

2024

Vydáno

06.06.2023

Nakladatel

Cambridge University Press

ISSN

0308-2105

Periodikum

Proceedings of the Royal Society of Edinburgh Section A: Mathematics

Svazek

117

Číslo

128

Stát

Spojené království Velké Británie a Severního Irska

Strany od

1

Strany do

31

Strany počet

31

URL

https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/groundstates-of-the-planar-schrodingerpoisson-system-with-potential-well-and-lack-of-symmetry/223939198AEDB4F9B7DCB633917950DD

Plný text v Digitální knihovně

http://hdl.handle.net/11012/245219

BibTex

@article{BUT184002,
  author="Zhisu {Liu} and Vicentiu {Radulescu} and Jianjun {Zhang}",
  title="Groundstates of the planar Schrodinger-Poisson system with potential well and lack of symmetry",
  journal="Proceedings of the Royal Society of Edinburgh Section A: Mathematics",
  year="2023",
  volume="117",
  number="128",
  pages="1--31",
  doi="10.1017/prm.2023.43",
  issn="0308-2105",
  url="https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/groundstates-of-the-planar-schrodingerpoisson-system-with-potential-well-and-lack-of-symmetry/223939198AEDB4F9B7DCB633917950DD"
}