2002 Morse index estimates for continuous functionals associated with quasilinear elliptic equations
Sergio Lancelotti
Adv. Differential Equations 7(1): 99-128 (2002). DOI: 10.57262/ade/1356651877

Abstract

A result of Amann-Zehnder type for quasilinear elliptic equations is proved when the origin is a degenerate critical point. For this purpose, the critical groups of the associated continuous functionals are studied. An adaptation of the Generalized Morse Lemma is proved.

Citation

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Sergio Lancelotti. "Morse index estimates for continuous functionals associated with quasilinear elliptic equations." Adv. Differential Equations 7 (1) 99 - 128, 2002. https://doi.org/10.57262/ade/1356651877

Information

Published: 2002
First available in Project Euclid: 27 December 2012

zbMATH: 1035.58010
MathSciNet: MR1867706
Digital Object Identifier: 10.57262/ade/1356651877

Subjects:
Primary: 58E05
Secondary: 35J60 , 35J65 , 47J30

Rights: Copyright © 2002 Khayyam Publishing, Inc.

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Vol.7 • No. 1 • 2002
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