Nondegeneracy of entire solutions of a singular Liouvillle equation

del Pino, Manuel; Esposito, Pierpaolo; Musso, Monica

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

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.

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