Suites de Palais-Smale bornées dans le lemme du col

Louis Jeanjean; John Francis Toland

doi:10.1016/S0764-4442(98)80097-9

Suites de Palais-Smale bornées dans le lemme du col

Translated title of the contribution: Bounded Palais-Smale mountain-pass sequences

Louis Jeanjean, John Francis Toland

Department of Mathematical Sciences

Université Gustave Eiffel

Research output: Contribution to journal › Article › peer-review

64 Citations (SciVal)

Abstract

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
Original language	French
Pages (from-to)	23-28
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	327
Issue number	1
DOIs	https://doi.org/10.1016/S0764-4442(98)80097-9
Publication status	Published - Jul 1998

Funding

was supportedb y an EPSRC Senior Fellowship.

ASJC Scopus subject areas

General Mathematics

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10.1016/S0764-4442(98)80097-9

Cite this

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title = "Suites de Palais-Smale born{\'e}es dans le lemme du col",

abstract = "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.",

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AU - Toland, John Francis

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N2 - 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.

AB - 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.

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Suites de Palais-Smale bornées dans le lemme du col

Abstract

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ASJC Scopus subject areas

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