Max-Min characterization of the mountain pass energy level for a class of variational problems
Mathematical Physics
2009-09-02 v1 math.MP
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.
Keywords
Cite
@article{arxiv.0909.0136,
title = {Max-Min characterization of the mountain pass energy level for a class of variational problems},
author = {Jacopo Bellazzini and Nicola Visciglia},
journal= {arXiv preprint arXiv:0909.0136},
year = {2009}
}