Abstract
Let I(λ, ·), λ ε ℝ, be a family of C 1-functionals having mountain-pass geometry. Under hypotheses which do not ensure that the mountain-pass level c(λ) is a monotone function of λ, it is shown that I(λ) has a bounded Palais-Smale sequence at level c(λ), for almost every λ.
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More From: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
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