Electronic Journal of Differential Equations, Vol. 2003(2003), No. 78, pp. 1-13. Title: Estimates for critical groups of solutions to quasilinear elliptic systems Authors: Jose Carmona (Univ. de Almeria, Spain) Silvia Cingolani (Politecnico di Bari, Italy) Giuseppina Vannella (Politecnico di Bari, Italy) 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.