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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0198084" target="_blank" >RIV/00216305:26220/26:0198084 - isvavai.cz</a>

Result on the web

<a href="https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.716/" target="_blank" >https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.716/</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.5802/crmath.716" target="_blank" >10.5802/crmath.716</a>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Comptes rendus. Mathématique

ISSN

1631-073X

e-ISSN

1778-3569

Volume of the periodical

363

Issue of the periodical within the volume

1

Country of publishing house

FR - FRANCE

Number of pages

11

Pages from-to

353-363

UT code for WoS article

001496417100004

EID of the result in the Scopus database

2-s2.0-105007039073