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

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CRMATH_2025__363_G4_353_0.pdf (399.04 KB)

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2025-06-02

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Tianxiang, Gou
Radulescu, Vicentiu

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Referee

Mark

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The French Academy of sciences

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ORCID 0000-0003-4615-5537
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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.
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.

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fractional elliptic equations , harmonic potential , positive solutions , Uniqueness , fractional elliptic equations , harmonic potential , positive solutions , Uniqueness

Citation

COMPTES RENDUS MATHEMATIQUE. 2025, vol. 363, issue 1, p. 353-363.
https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.716/

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Peer-reviewed

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en

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10.5802/crmath.716

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http://hdl.handle.net/11012/251326

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Creative Commons Attribution 4.0 International
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