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arXiv · 1508.01058

The asymptotic behavior of Palais-Smale sequences on manifolds with boundary

Sergio Almaraz
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Abstract

We describe the asymptotic behavior of Palais-Smale sequences associated to certain Yamabe-type equations on manifolds with boundary. We prove that each of those sequences converges to a solution of the limit equation plus a finite number of "bubbles" which are obtained by rescaling fundamental solutions of the corresponding Euclidean equations.

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Sergio Almaraz. 2015-08-05. The asymptotic behavior of Palais-Smale sequences on manifolds with boundary. https://doi.org/10.2140/pjm.2014.269-1

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