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

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González Nogueras, María del MarMés informació
Fang, Yi
Document typeResearch report
Defense date2014
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
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.
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CitationGonzalez, M.; Fang, Y. "Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe type equations". 2014. 
URIhttp://hdl.handle.net/2117/27563
URL other repositoryhttp://www.pagines.ma1.upc.edu/~mgonzalez/Papers/Fang_Gonzalez.pdf
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