Publication detail

Uniqueness of positive solutions to fractional nonlinear elliptic equations with harmonic potential

TIANXIANG, G. RADULESCU, V.

Original Title

Uniqueness of positive solutions to fractional nonlinear elliptic equations with harmonic potential

Type

journal article in Web of Science

Language

English

Original Abstract

In this paper, we establish the uniqueness of positive solutions to the following fractional nonlinear elliptic equation with harmonic potential: (MATHEMATICAL FOMULA PRESENTED) where (MATHEMATICAL EQUATION PRESENTED) is the lowest eigenvalue of the operator (−∆)s + |x|2. This solves an open question raised in [15] concerning the uniqueness of solutions to the equation.

Keywords

fractional elliptic equations; harmonic potential; positive solutions; Uniqueness

Authors

TIANXIANG, G.; RADULESCU, V.

Released

2. 6. 2025

Publisher

The French Academy of sciences

ISBN

1778-3569

Periodical

COMPTES RENDUS MATHEMATIQUE

Year of study

363

Number

1

State

French Republic

Pages from

353

Pages to

363

Pages count

11

URL

https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.716/

Full text in the Digital Library

http://hdl.handle.net/11012/251326

BibTex

@article{BUT198084,
  author="Gou {Tianxiang} and Vicentiu {Radulescu}",
  title="Uniqueness of positive solutions to fractional nonlinear elliptic equations with harmonic potential",
  journal="COMPTES RENDUS MATHEMATIQUE",
  year="2025",
  volume="363",
  number="1",
  pages="353--363",
  doi="10.5802/crmath.716",
  issn="1778-3569",
  url="https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.716/"
}