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Bibliographic Details
Main Authors: DelaTorre, Azahara, Mancini, Gabriele, Pistoia, Angela, Provenzano, Luigi
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.14119
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Table of Contents:
  • 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.