Publication 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

Type

journal article in Web of Science

Language

English

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.

Keywords

GROUND-STATESPOSITIVE SOLUTION;SEXISTENCE;UNIQUENESS

Authors

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

Released

15. 5. 2023

Publisher

Academic Press Inc.

ISBN

1090-2732

Periodical

Journal of Differential Equations

Year of study

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="1090-2732",
  url="https://www.sciencedirect.com/science/article/pii/S002203962300030X"
}