Łojasiewicz inequalities near simple bubble trees

In this paper we prove a gap phenomenon for critical points of the $H$-functional on closed non-spherical surfaces when $H$ is constant, and in this setting furthermore prove that sequences of almost critical points satisfy Łojasiewicz inequalities as they approach the first non-trivial bubble tree...

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Bibliographic Details
Main Authors: Malchiodi, A, Rupflin, M, Sharp, B
Format: Journal article
Language:English
Published: Johns Hopkins University Press 2024