Existence of solutions for elliptic systems with critical Sobolev exponent
Electronic Journal of Differential Equations, Tome 2002 (2002).

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

Summary: 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
@article{EJDE_2002__2002__a99,
     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},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a99/}
}
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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__a99/