\null Max-Min characterization of the mountain pass energy level for a class of variational problems
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- by Jacopo Bellazzini and Nicola Visciglia PDF
- Proc. Amer. Math. Soc. 138 (2010), 3335-3343 Request permission
Abstract:
We prove the existence of a critical point at the mountain pass energy level for a general class of variational problems. We also provide a Max-Min characterization of the mountain pass energy level. Finally, we present some concrete applications.References
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Additional Information
- Jacopo Bellazzini
- Affiliation: Dipartimento di Matematica Applicata, Università di Pisa, Via Buonarroti 1/C, 56127 Pisa, Italy
- MR Author ID: 723251
- Email: j.bellazzini@ing.unipi.it
- Nicola Visciglia
- Affiliation: Dipartimento di Matematica, Università di Pisa, Largo B. Pontecorvo 5, 56100 Pisa, Italy
- Email: viscigli@dm.unipi.it
- Received by editor(s): June 24, 2009
- Received by editor(s) in revised form: September 4, 2009, and December 16, 2009
- Published electronically: April 29, 2010
- Communicated by: Matthew J. Gursky
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 3335-3343
- MSC (2000): Primary 58E05; Secondary 35J20, 35J60
- DOI: https://doi.org/10.1090/S0002-9939-10-10415-8
- MathSciNet review: 2653963