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

We present an alternative proof of the Mountain Pass Theorem by means of the classical Ekeland Variational Principle for a class of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$${\mathcal{C}^1}$$</EquationSource> </InlineEquation> -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

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Year of publication:	2013
Authors:	Montenegro, Marcelo ; Presoto, Adilson
Published in:	Journal of Global Optimization. - Springer. - Vol. 57.2013, 2, p. 575-581
Publisher:	Springer
Subject:	Mountain pass theorem \| Variational methods \| Critical points \| Ekeland variational principle

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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