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zbMATH Open
Article . 2003
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Estimates for critical groups of solutions to quasilinear elliptic systems.

Estimates for critical groups of solutions to quasilinear elliptic systems
Authors: Carmona, José; Cingolani, Silvia; Vannella, Giuseppina;

Estimates for critical groups of solutions to quasilinear elliptic systems.

Abstract

In this work we study a class of functionals, defined on Banach spaces, associated with quasilinear elliptic systems. Firstly, we prove some regularity results about the critical points of such functionals and then we estimate the critical groups in each critical point via its Morse index.

Countries
Italy, Spain
Keywords

Matemáticas, Smoothness and regularity of solutions to PDEs, quasilinear elliptic systems; critical groups; Morse index, Morse index., Nonlinear elliptic equations, Quasilinear elliptic systems, Variational aspects of group actions in infinite-dimensional spaces, Morse index, critical group, quasilinear elliptic system, QA1-939, critical groups, group action, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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