Detail publikace

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

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

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

CONCENTRATION-COMPACTNESS PRINCIPLE; POISSON SYSTEM;EXISTENCE;EQUATIONS;INEQUALITIES;CALCULUS

Autoři

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

Vydáno

20. 3. 2023

Nakladatel

Springer Nature

ISSN

0944-2669

Periodikum

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Ročník

62

Číslo

4

Stát

Spojené státy americké

Strany od

1

Strany do

31

Strany počet

31

URL

https://link.springer.com/article/10.1007/s00526-023-02463-0

Plný text v Digitální knihovně

http://hdl.handle.net/11012/213633

BibTex

@article{BUT183408,
  author="Zhisu {Liu} and Vicentiu {Radulescu} and Jianjun {Zhang}",
  title="A planar Schrodinger-Newton system with Trudinger-Moser critical growth",
  journal="CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS",
  year="2023",
  volume="62",
  number="4",
  pages="1--31",
  doi="10.1007/s00526-023-02463-0",
  issn="0944-2669",
  url="https://link.springer.com/article/10.1007/s00526-023-02463-0"
}