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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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


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.
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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:
  • Pierpaolo Esposito
  • Affiliation: Dipartimento di Matematica, Università degli Studi “Roma Tre”, Largo S. Leonardo Murialdo, 1, 00146 Roma, Italy
  • Email:
  • Monica Musso
  • Affiliation: Departamento de Matemática, Pontificia Universidad Católica de Chile, Avda, Vicuña Mackenna 4860, Macul, Chile
  • MR Author ID: 609123
  • Email:
  • 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:
  • MathSciNet review: 2846326