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BY-NC-ND 3.0 license Open Access Published by De Gruyter August 1, 2012

Relations between the mountain pass theorem and local minima

  • Gabriele Bonanno EMAIL logo

Abstract.

Existence results of two critical points for functionals unbounded from below are established after pointing out a characterization of the mountain pass geometry. Applications to elliptic Dirichlet problems are then presented.

Received: 2012-01-29
Revised: 2012-03-13
Accepted: 2012-03-14
Published Online: 2012-08-01
Published in Print: 2012-08-01

© 2012 by Walter de Gruyter Berlin Boston

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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