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Bounded Palais-Smale sequences with Morse type information for some constrained functionals

In this paper, we study, for functionals having a minimax geometry on a constraint, the existence of bounded Palais-Smale sequences carrying Morse index type information.

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Bibliographic Details
Published in:Transactions of the American Mathematical Society 2024-04, Vol.377 (6), p.4481-4517
Main Authors: Borthwick, Jack, Chang, Xiaojun, Jeanjean, Louis, Soave, Nicola
Format: Article
Language:English
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Description
Summary:In this paper, we study, for functionals having a minimax geometry on a constraint, the existence of bounded Palais-Smale sequences carrying Morse index type information.
ISSN:0002-9947
1088-6850
DOI:10.1090/tran/9145