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

作者：Montenegro Marcelo; Presoto Adilson E^*

来源：Journal of Global Optimization, 2013, 57(2): 575-581.

DOI：10.1007/s10898-012-0001-6

• Mountain pass theorem
• Variational methods
• Critical points
• Ekeland variational principle

We present an alternative proof of the Mountain Pass Theorem by means of the classical Ekeland Variational Principle for a class of -functionals. In this new proof we avoid the machinery of convex analysis by a simpler characterization of the critical values of the functional.

• 出版日期2013-10