Detail publikace

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

TIANXIANG, G. RADULESCU, V.

Originální název

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

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

1

Stát

Francouzská republika

Strany od

353

Strany do

363

Strany počet

11

URL

Plný text v Digitální knihovně

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/"
}