Estimates for critical groups of solutions to quasilinear elliptic systems
Electronic journal of differential equations, Tome 2003 (2003)
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
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},
year = {2003},
volume = {2003},
zbl = {1040.58006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a193/}
}
TY - JOUR AU - Carmona, José AU - Cingolani, Silvia AU - Vannella, Giuseppina TI - Estimates for critical groups of solutions to quasilinear elliptic systems JO - Electronic journal of differential equations PY - 2003 VL - 2003 UR - http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a193/ LA - en ID - EJDE_2003__2003__a193 ER -
%0 Journal Article %A Carmona, José %A Cingolani, Silvia %A Vannella, Giuseppina %T Estimates for critical groups of solutions to quasilinear elliptic systems %J Electronic journal of differential equations %D 2003 %V 2003 %U http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a193/ %G en %F EJDE_2003__2003__a193
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/