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