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

Bellazzini, Jacopo and Visciglia, Nicola (2010) Max-Min characterization of the mountain pass energy level for a class of variational problems. Proceedings of the American Mathematical Society, Vol. 138 , p. 3335-3343. eISSN 1088-6826. Article.

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DOI: 10.1090/S0002-9939-10-10415-8

Alternative URLs:

http://arxiv.org/PS_cache/arxiv/pdf/0909...

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.

Item Type:	Article
ID Code:	6931
Status:	Published
Refereed:	Yes
Uncontrolled Keywords:	Critical point theory, mountain pass energy level, nonlinear elliptic equations
Subjects:	Area 01 - Scienze matematiche e informatiche > MAT/05 Analisi matematica
Divisions:	001 Università di Sassari > 01 Dipartimenti > Scienze botaniche, ecologiche e geologiche
Publisher:	American Mathematical Society
eISSN:	1088-6826
Deposited On:	10 Jan 2012 13:45

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