Non-degeneracy of the bubble in a fractional and singular 1D Liouville equation

Journal of Functional Analysis 2026 Open access

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Authors: Azahara DelaTorre, Gabriele Mancini, Angela Pistoia, Luigi Provenzano
DOI: 10.1016/j.jfa.2026.111617
Cited by: 1
References: 46

Abstract

We prove the non-degeneracy of solutions to a fractional and singular Liouville equation defined on the whole real line in presence of a singular term. We use conformal transformations to rewrite the linearized equation as a Steklov eigenvalue problem posed in a bounded domain, which is defined either by an intersection or a union of two disks. We conclude by proving the simplicity of the corresponding eigenvalue.

Fields of Study & Subjects

Ocean Waves and Remote Sensing Navier-Stokes equation solutions

Publication details

Journal / source
Journal of Functional Analysis
Publisher
Elsevier BV
Volume
291
Issue
12
Pages
111617–111617
Publication date
16 July 2026
Language
EN