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ISSN 1088-6826(e) ISSN 0002-9939(p)

Max-Min characterization of the mountain pass energy level for a class of variational problems

Author(s): Jacopo Bellazzini; Nicola Visciglia
Journal: Proc. Amer. Math. Soc. 138 (2010), 3335-3343.
MSC (2000): Primary 58E05; Secondary 35J20, 35J60
Posted: April 29, 2010
MathSciNet review: 2653963
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Abstract | References | Similar articles | Additional information

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
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

DOI: 10.1090/S0002-9939-10-10415-8
PII: S 0002-9939(10)10415-8
Keywords: Critical point theory, mountain pass energy level, nonlinear elliptic equations
Received by editor(s): June 24, 2009
Received by editor(s) in revised form: September 4, 2009 and December 16, 2009
Posted: April 29, 2010
Communicated by: Matthew J. Gursky
Copyright of article: Copyright 2010, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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