Nondegeneracy of entire solutions of a singular liouvillle equation

Manuel del Pino; Pierpaolo Esposito; Monica Musso

doi:10.1090/S0002-9939-2011-11134-1

Nondegeneracy of entire solutions of a singular liouvillle equation

Manuel del Pino
, Pierpaolo Esposito
, Monica Musso

Department of Mathematical Sciences

Universidad de Valparaíso
Università degli studi Roma Tre
Pontificia Universidad Católica de Chile

Research output: Contribution to journal › Article › peer-review

39 Citations (SciVal)

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 language	English
Pages (from-to)	581-588
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	140
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-2011-11134-1
Publication status	Published - 1 Jan 2012

Keywords

Linearization
Nondegeneracy
Singular liouville equation

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-2011-11134-1

Cite this

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title = "Nondegeneracy of entire solutions of a singular liouvillle equation",

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.",

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AU - Esposito, Pierpaolo

AU - Musso, Monica

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N2 - 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.

AB - 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.

KW - Linearization

KW - Nondegeneracy

KW - Singular liouville equation

UR - https://www.scopus.com/pages/publications/82255181248

U2 - 10.1090/S0002-9939-2011-11134-1

DO - 10.1090/S0002-9939-2011-11134-1

M3 - Article

AN - SCOPUS:82255181248

SN - 0002-9939

VL - 140

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EP - 588

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

Nondegeneracy of entire solutions of a singular liouvillle equation

Abstract

Keywords

ASJC Scopus subject areas

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