Electron. J. Diff. Eqns., Vol. 2003(2003), No. 78, pp. 1-13.

Estimates for critical groups of solutions to quasilinear elliptic systems

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
Silvia Cingolani
Dipartimento di Matematica
Politecnico di Bari
Bari, Italy
email: cingolan@dm.uniba.it
Giuseppina Vannella
Dipartimento di Matematica
Politecnico di Bari
Bari, Italy
email: vannella@dm.uniba.it

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