An alternative proof of the mountain pass theorem for a class of functionals

Marcelo Montenegro () and Adilson Presoto ()

Journal of Global Optimization, 2013, vol. 57, issue 2, 575-581

Abstract: We present an alternative proof of the Mountain Pass Theorem by means of the classical Ekeland Variational Principle for a class of $${\mathcal{C}^1}$$ -functionals. In this new proof we avoid the machinery of convex analysis by a simpler characterization of the critical values of the functional. Copyright Springer Science+Business Media New York 2013

Keywords: Mountain pass theorem; Variational methods; Critical points; Ekeland variational principle; 35A15; 35J20; 35J60 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-0001-6

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