Nondegeneracy of entire solutions of a singular liouvillle equation

Manuel del Pino, Pierpaolo Esposito, Monica Musso

Research output: Contribution to journalArticle

25 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)581-588
Number of pages8
JournalProceedings of the American Mathematical Society
Volume140
Issue number2
DOIs
Publication statusPublished - 1 Jan 2012

Keywords

  • Linearization
  • Nondegeneracy
  • Singular liouville equation

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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