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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F23%3APU148502" target="_blank" >RIV/00216305:26220/23:PU148502 - isvavai.cz</a>

Výsledek na webu

<a href="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" target="_blank" >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</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1017/prm.2023.43" target="_blank" >10.1017/prm.2023.43</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

ISSN

0308-2105

e-ISSN

1473-7124

Svazek periodika

117

Číslo periodika v rámci svazku

128

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

31

Strana od-do

1-31

Kód UT WoS článku

001007743400001

EID výsledku v databázi Scopus

2-s2.0-85161004862