We prove the non-degeneracy of solutions to a fractional and singular Liouville equation defined on the whole real line in the 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.
Non-degeneracy of the bubble in a fractional and singular 1D Liouville equation / Delatorre, A., Mancini, G., Pistoia, A., Provenzano, L.. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 291:12(2026). [10.1016/j.jfa.2026.111617]
Non-degeneracy of the bubble in a fractional and singular 1D Liouville equation
DelaTorre A.
;Pistoia A.;
2026
Abstract
We prove the non-degeneracy of solutions to a fractional and singular Liouville equation defined on the whole real line in the 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.| File | Dimensione | Formato | |
|---|---|---|---|
|
DelaTorre_Non-degeneracy_2026.pdf
accesso aperto
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Creative commons
Dimensione
1.15 MB
Formato
Adobe PDF
|
1.15 MB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
