Jose Carmona, Silvia Cingolani, & Giuseppina Vannella
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.
Submitted January 15, 2003. Published July 28, 2003.
Math Subject Classifications: 58E60, 35J60, 35B65.
Key Words: Quasilinear elliptic systems, critical groups, Morse index.
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Jose Carmona Department Algebra y Analisis Matematico Universidad de Almeria Almeria, Spain email: jcarmona@ual.es |
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Silvia Cingolani Dipartimento di Matematica Politecnico di Bari Bari, Italy email: cingolan@dm.uniba.it |
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Giuseppina Vannella Dipartimento di Matematica Politecnico di Bari Bari, Italy email: vannella@dm.uniba.it |
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