Let I(λ, ·), λ ∈ ℝ, be a family of C1-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.
|Translated title of the contribution||Bounded Palais-Smale mountain-pass sequences|
|Number of pages||6|
|Journal||Comptes Rendus de l'Academie des Sciences - Series I: Mathematics|
|Publication status||Published - Jul 1998|
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