Detail publikace

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

TIANXIANG, G. RADULESCU, V.

Originální název

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

fractional elliptic equations; harmonic potential; positive solutions; Uniqueness

Autoři

TIANXIANG, G.; RADULESCU, V.

Vydáno

2. 6. 2025

Nakladatel

The French Academy of sciences

ISSN

1778-3569

Periodikum

COMPTES RENDUS MATHEMATIQUE

Ročník

363

Číslo

Stát

Francouzská republika

Strany od

353

Strany do

363

Strany počet

URL

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

Plný text v Digitální knihovně

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/"
}