Asymptotic behavior of palais-smale sequences associated with fractional yamabe-type equations

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Título:	Asymptotic behavior of palais-smale sequences associated with fractional yamabe-type equations
Autor/a:	Fang, Yi; González Nogueras, María del Mar
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. EDP - Equacions en Derivades Parcials i Aplicacions
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 multibubbles.
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Fractional differential equations -fractional Yamabe problem -Palais-Smale sequences -Conformal geometry -laplacian -compactness -Equacions diferencials -Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type -Classificació AMS::58 Global analysis, analysis on manifolds::58J Partial differential equations on manifolds; differential operators
Derechos:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipo de documento:	Artículo - Versión presentada Artículo
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