An estimate on the relative Morse index for strongly indefinite functionals

We extend the Benci and Rabinowitz linking theorem to strongly indefinite functionals satisfying the Palais-Smale condition. More precisely, we show an upper estimate for a relative Morse index of critical points.

Bibliographic Details
Main Authors: A. Abbondandolo, P. Felmer, J. Molina
Format: Article
Language:English
Published: Texas State University 2001-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/06/a1/abstr.html
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spelling doaj-44b52ce7c12846ed8573ee28745df4362020-11-25T02:39:19ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912001-01-01Conference06111An estimate on the relative Morse index for strongly indefinite functionalsA. AbbondandoloP. FelmerJ. MolinaWe extend the Benci and Rabinowitz linking theorem to strongly indefinite functionals satisfying the Palais-Smale condition. More precisely, we show an upper estimate for a relative Morse index of critical points. http://ejde.math.txstate.edu/conf-proc/06/a1/abstr.htmlCritical pointMorse index.
collection DOAJ
language English
format Article
sources DOAJ
author A. Abbondandolo
P. Felmer
J. Molina
spellingShingle A. Abbondandolo
P. Felmer
J. Molina
An estimate on the relative Morse index for strongly indefinite functionals
Electronic Journal of Differential Equations
Critical point
Morse index.
author_facet A. Abbondandolo
P. Felmer
J. Molina
author_sort A. Abbondandolo
title An estimate on the relative Morse index for strongly indefinite functionals
title_short An estimate on the relative Morse index for strongly indefinite functionals
title_full An estimate on the relative Morse index for strongly indefinite functionals
title_fullStr An estimate on the relative Morse index for strongly indefinite functionals
title_full_unstemmed An estimate on the relative Morse index for strongly indefinite functionals
title_sort estimate on the relative morse index for strongly indefinite functionals
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2001-01-01
description We extend the Benci and Rabinowitz linking theorem to strongly indefinite functionals satisfying the Palais-Smale condition. More precisely, we show an upper estimate for a relative Morse index of critical points.
topic Critical point
Morse index.
url http://ejde.math.txstate.edu/conf-proc/06/a1/abstr.html
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AT aabbondandolo estimateontherelativemorseindexforstronglyindefinitefunctionals
AT pfelmer estimateontherelativemorseindexforstronglyindefinitefunctionals
AT jmolina estimateontherelativemorseindexforstronglyindefinitefunctionals
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