Existence of solutions for elliptic systems with critical Sobolev exponent
Electronic journal of differential equations, Tome 2002 (2002)
We establish conditions for existence and for nonexistence of nontrivial solutions to an elliptic system of partial differential equations. This system is of gradient type and has a nonlinearity with critical growth.
Classification :
35J50
Keywords: elliptic systems, critical Sobolev exponent, variational methods
Keywords: elliptic systems, critical Sobolev exponent, variational methods
@article{EJDE_2002__2002__a199,
author = {Amster, Pablo and De N\'apoli, Pablo and Mariani, Maria Cristina},
title = {Existence of solutions for elliptic systems with critical {Sobolev} exponent},
journal = {Electronic journal of differential equations},
year = {2002},
volume = {2002},
zbl = {1068.35511},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a199/}
}
TY - JOUR AU - Amster, Pablo AU - De Nápoli, Pablo AU - Mariani, Maria Cristina TI - Existence of solutions for elliptic systems with critical Sobolev exponent JO - Electronic journal of differential equations PY - 2002 VL - 2002 UR - http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a199/ LA - en ID - EJDE_2002__2002__a199 ER -
%0 Journal Article %A Amster, Pablo %A De Nápoli, Pablo %A Mariani, Maria Cristina %T Existence of solutions for elliptic systems with critical Sobolev exponent %J Electronic journal of differential equations %D 2002 %V 2002 %U http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a199/ %G en %F EJDE_2002__2002__a199
Amster, Pablo; De Nápoli, Pablo; Mariani, Maria Cristina. Existence of solutions for elliptic systems with critical Sobolev exponent. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a199/