A Mountain Pass Theorem for a Suitable Class of Functions

@inproceedings{Averna2006AMP,
title={A Mountain Pass Theorem for a Suitable Class of Functions},
author={Diego Averna and Gabriele Bonanno},
year={2006}
}

The main purpose of this paper is to establish a three critical points result without assuming the coercivity of the involved functional. To this end, a mountain-pass theorem, where the usual Palais-Smale condition is not requested, is presented. These results are then applied to prove the existence of three solutions for a two-point boundary value problem with no asymptotic conditions.