Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe type equations
Analysis of PDEs
2016-01-20 v1
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.
Keywords
Cite
@article{arxiv.1503.04111,
title = {Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe type equations},
author = {Yi Fang and Maria del Mar Gonzalez},
journal= {arXiv preprint arXiv:1503.04111},
year = {2016}
}
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29 pages