A planar Schrodinger-Newton system with Trudinger-Moser critical growth

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F23%3APU148074" target="_blank" >RIV/00216305:26220/23:PU148074 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s00526-023-02463-0" target="_blank" >https://link.springer.com/article/10.1007/s00526-023-02463-0</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00526-023-02463-0" target="_blank" >10.1007/s00526-023-02463-0</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A planar Schrodinger-Newton system with Trudinger-Moser critical growth

Popis výsledku v původním jazyce

In this paper, we focus on the existence of positive solutions to the following planar Schrodinger-Newton system with general critical exponential growth $-Delta u + u + phi u = f (u) in R^2, Delta phi = u^2 in R^2 $, where $f$ is an element of $ C^1( R, R)$. We apply a variational approach developed in [36] to study the above problem in the Sobolev space $H^1(R^2)$. The analysis developed in this paper also allows to investigate the relation between a Riesz-type of Schrodinger-Newton systems and a logarithmic-type of Schrodinger-Poisson systems. Furthermore, this approach can overcome some difficulties resulting from either the nonlocal term with sign-changing and unbounded logarithmic integral kernel, or the critical nonlinearity, or the lack of monotonicity of $ f(t)/t(3)$. We emphasize that it seems much difficult to use the variational framework developed in the existed literature to study the above problem.

Název v anglickém jazyce

A planar Schrodinger-Newton system with Trudinger-Moser critical growth

Popis výsledku anglicky

In this paper, we focus on the existence of positive solutions to the following planar Schrodinger-Newton system with general critical exponential growth $-Delta u + u + phi u = f (u) in R^2, Delta phi = u^2 in R^2 $, where $f$ is an element of $ C^1( R, R)$. We apply a variational approach developed in [36] to study the above problem in the Sobolev space $H^1(R^2)$. The analysis developed in this paper also allows to investigate the relation between a Riesz-type of Schrodinger-Newton systems and a logarithmic-type of Schrodinger-Poisson systems. Furthermore, this approach can overcome some difficulties resulting from either the nonlocal term with sign-changing and unbounded logarithmic integral kernel, or the critical nonlinearity, or the lack of monotonicity of $ f(t)/t(3)$. We emphasize that it seems much difficult to use the variational framework developed in the existed literature to study the above problem.

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

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

ISSN

0944-2669

e-ISSN

1432-0835

Svazek periodika

62

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

31

Strana od-do

1-31

Kód UT WoS článku

000956073200002

EID výsledku v databázi Scopus

2-s2.0-85150918811