Nondegeneracy of entire solutions of a singular Liouvillle equation
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- by Manuel del Pino, Pierpaolo Esposito and Monica Musso PDF
- Proc. Amer. Math. Soc. 140 (2012), 581-588 Request permission
Abstract:
We establish nondegeneracy of the explicit family of finite mass solutions of the Liouvillle equation with a singular source of integer multiplicity, in the sense that all bounded elements in the kernel of the linearization correspond to variations along the parameters of the family.References
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Additional Information
- Manuel del Pino
- Affiliation: Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (UMI 2807 CNRS), Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile
- MR Author ID: 56185
- Email: delpino@dim.uchile.cl
- Pierpaolo Esposito
- Affiliation: Dipartimento di Matematica, Università degli Studi “Roma Tre”, Largo S. Leonardo Murialdo, 1, 00146 Roma, Italy
- Email: esposito@mat.uniroma3.it
- Monica Musso
- Affiliation: Departamento de Matemática, Pontificia Universidad Católica de Chile, Avda, Vicuña Mackenna 4860, Macul, Chile
- MR Author ID: 609123
- Email: mmusso@mat.puc.cl
- Received by editor(s): November 23, 2010
- Published electronically: July 20, 2011
- Additional Notes: This research has been partly supported by grants FIRB-IDEAS (2008), project “Geometrical aspects in PDEs”, Fondecyt Grants 1070389, 1080099, Fondo Basal CMM and CAPDE-Anillo ACT-125.
- Communicated by: Matthew J. Gursky
- © Copyright 2011 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 140 (2012), 581-588
- MSC (2010): Primary 35J25, 35B40, 35J10
- DOI: https://doi.org/10.1090/S0002-9939-2011-11134-1
- MathSciNet review: 2846326