An alternative proof of the mountain pass theorem for a class of functionals |
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| Authors: | Marcelo Montenegro Adilson E. Presoto |
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| Affiliation: | 1. Departamento de Matemática, Universidade Estadual de Campinas, IMECC, Rua Sérgio Buarque de Holanda, 651, Campinas, SP, CEP 13083-859, Brazil
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| 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. |
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