Publication detail

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

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

Original Title

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

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

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

Released

6. 6. 2023

Publisher

Cambridge University Press

ISBN

0308-2105

Periodical

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Year of study

117

Number

128

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1

Pages to

31

Pages count

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

Full text in the Digital Library

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"
}