Abstract
In this chapter, we describe losses of compactness in some variational problems. Minimizing sequences were considered by Pierre-Louis Lions in [50] and [51]. Palais-Smale sequences were studied by many authors (see the bibliography of [21]). Of course the Ekeland principle allows a reduction of minimizing sequences to Palais-Smale sequences.
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© 1996 Birkhäuser
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Willem, M. (1996). Representation of Palais-Smale sequences. In: Minimax Theorems. Progress in Nonlinear Differential Equations and Their Applications, vol 24. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4146-1_9
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DOI: https://doi.org/10.1007/978-1-4612-4146-1_9
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8673-8
Online ISBN: 978-1-4612-4146-1
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