Publication result detail

Bound states of fractional Choquard equations with Hardy-Littlewood-Sobolev critical exponent

GUAN, W.; RADULESCU, V.; WANG, D.

Original Title

Bound states of fractional Choquard equations with Hardy-Littlewood-Sobolev critical exponent

English Title

Bound states of fractional Choquard equations with Hardy-Littlewood-Sobolev critical exponent

Type

WoS Article

Original Abstract

We deal with the fractional Choquard equation where I-mu(x) is the Riesz potential, s is an element of (0, 1), 2s< N not equal 4s, 0 < mu < min{N, 4s} and 2* mu,s= 2N- mu/N-2s is the fractional critical Hardy-Littlewood-Sobolev exponent. By combining variational methods and the Brouwer degree theory, we investigate the existence and multiplicity of positive bound solutions to this equation when V(x) is a positive potential bounded from below. The results obtained in this paper extend and improve some recent works in the case where the coefficient V(x) vanishes at infinity.

English abstract

We deal with the fractional Choquard equation where I-mu(x) is the Riesz potential, s is an element of (0, 1), 2s< N not equal 4s, 0 < mu < min{N, 4s} and 2* mu,s= 2N- mu/N-2s is the fractional critical Hardy-Littlewood-Sobolev exponent. By combining variational methods and the Brouwer degree theory, we investigate the existence and multiplicity of positive bound solutions to this equation when V(x) is a positive potential bounded from below. The results obtained in this paper extend and improve some recent works in the case where the coefficient V(x) vanishes at infinity.

Keywords

GROUND-STATESPOSITIVE SOLUTION;SEXISTENCE;UNIQUENESS

Key words in English

GROUND-STATESPOSITIVE SOLUTION;SEXISTENCE;UNIQUENESS

Authors

GUAN, W.; RADULESCU, V.; WANG, D.

RIV year

2024

Released

15.05.2023

Publisher

Academic Press Inc.

ISBN

1090-2732

Periodical

Journal of Differential Equations

Volume

2023

Number

355

State

United States of America

Pages from

219

Pages to

247

Pages count

29

URL

https://www.sciencedirect.com/science/article/pii/S002203962300030X

BibTex

@article{BUT183551,
  author="Wen {Guan} and Vicentiu {Radulescu} and Da-Bin {Wang}",
  title="Bound states of fractional Choquard equations with Hardy-Littlewood-Sobolev critical exponent",
  journal="Journal of Differential Equations",
  year="2023",
  volume="2023",
  number="355",
  pages="219--247",
  doi="10.1016/j.jde.2023.01.023",
  issn="0022-0396",
  url="https://www.sciencedirect.com/science/article/pii/S002203962300030X"
}