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={Walter 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. 
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