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

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Fang, Yi
González Nogueras, María del MarMés informació
Document typeArticle
Defense date2015-12-01
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
ProjectECUACIONES EN DERIVADAS PARCIALES: PROBLEMAS DE REACCION-DIFUSION, INTEGRO-DIFERENCIALES Y GEOMETRICOS (MINECO-MTM2014-52402-C3-1-P)
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.
CitationFang, Y., Gonzalez, M. Asymptotic behavior of palais-smale sequences associated with fractional yamabe-type equations. "Pacific journal of mathematics", 01 Desembre 2015, vol. 278, núm. 2, p. 369-405. 
URIhttp://hdl.handle.net/2117/85274
DOI10.2140/pjm.2015.278.369
ISSN0030-8730
Publisher versionhttp://msp.org/pjm/2015/278-2/p04.xhtml
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  • EDP - Equacions en Derivades Parcials i Aplicacions - Articles de revista [89]
  • Departament de Matemàtiques - Articles de revista [2.895]
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