Geodesic
Estimates for critical groups of solutions to quasilinear elliptic systems
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 58E60, 35J60, 35B65
Keywords: quasilinear elliptic systems, critical groups, Morse index 
@article{EJDE_2003__2003__a193,
     author = {Carmona, Jos\'e and Cingolani, Silvia and Vannella, Giuseppina},
     title = {Estimates for critical groups of solutions to quasilinear elliptic systems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a193/}
}
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Carmona, José; Cingolani, Silvia; Vannella, Giuseppina. Estimates for critical groups of solutions to quasilinear elliptic systems. Electronic Journal of Differential Equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a193/