Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe type equations

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Title:	Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe type equations
Author:	González Nogueras, María del Mar; Fang, Yi
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EDP - Equacions en Derivades Parcials i Aplicacions
Abstract:	preprint
Abstract:	In this paper, we analyze the asymptotic behavior of Palais-Smale sequences associated to fractional Yamabe type equations on an asymptotically hyperbolic Riemannian manifold. We prove that Palais-Smale sequences can be decomposed into the solution of the limit equation plus a finite number of bubbles, which are the rescaling of the fundamental solution for the fractional Yamabe equation on Euclidean space. We also verify the non-interfering fact for multi-bubbles.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Riemannian manifolds -Equacions diferencials el·líptiques
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Draft Report
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