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
Full text in the Digital Library
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/"
}