A Mountain Pass Lemma and its implications regarding the uniqueness of constrained minimizers

@article{Mascarenhas2011AMP,
title={A Mountain Pass Lemma and its implications regarding the uniqueness of constrained minimizers},
author={W. F. Mascarenhas},
journal={Optimization},
year={2011},
volume={60},
pages={1121 - 1159}
}

We present a version of the classical Mountain Pass Lemma and explain how to combine it with constraint qualifications to prove that nonlinear programming problems have a unique local minimizer.