Přístupnostní navigace
E-přihláška
Vyhledávání Vyhledat Zavřít
Detail publikace
LIU, Z. RADULESCU, V. ZHANG, J.
Originální název
Groundstates of the planar Schrodinger-Poisson system with potential well and lack of symmetry
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
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.
Klíčová slova
Schrodinger-Poisson system;exponential growth;ground statelack of symmetry;variational methods
Autoři
LIU, Z.; RADULESCU, V.; ZHANG, J.
Vydáno
6. 6. 2023
Nakladatel
Cambridge University Press
ISSN
0308-2105
Periodikum
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Ročník
117
Číslo
128
Stát
Spojené království Velké Británie a Severního Irska
Strany od
1
Strany do
31
Strany počet
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" }