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arXiv · 1503.04111

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

Yi Fang·Maria del Mar Gonzalez
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Abstract

In this paper, we analyze the asymptotic behavior of Palais-Smale sequences associated with 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 solutions to the fractional Yamabe equation on Euclidean space. We also verify the non-interfering fact for multi-bubbles.

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Yi Fang, Maria del Mar Gonzalez. 2015-03-13. Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe type equations. https://doi.org/10.2140/pjm.2015.278.369

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