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/"
}