Geodesic
The Impact of the Mountain Pass Theory in Nonlinear Analysis: a Mathematical Survey
Bollettino della Unione matematica italiana, Série 9, Tome 3 (2010) no. 3, pp. 543-582.

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We provide a survey on the mountain pass theory, viewed as a central tool in the modern nonlinear analysis. The abstract results are illustrated with relevant applications to nonlinear partial differential equations. 
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Pucci, Patrizia; Rădulescu, Vicenṭiu. The Impact of the Mountain Pass Theory in Nonlinear Analysis: a Mathematical Survey. Bollettino della Unione matematica italiana, Série 9, Tome 3 (2010) no. 3, pp. 543-582. http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_3_a7/

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