Max-Min characterization of the mountain pass energy level for a class of variational problems

2009/09/01 by Jacopo Bellazzini, Nicola Visciglia, Bellazzini, Jacopo +1
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.0909.0136

Abstract

We provide a max-min characterization of the mountain pass energy level for a family of variational problems. As a consequence we deduce the mountain pass structure of solutions to suitable PDEs, whose existence follows from classical minimization argument.

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