On the existence of weak solutions for $p,q$-Laplacian systems with weights
Electronic Journal of Differential Equations, Tome 2008 (2008).

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

Summary: This paper studies degenerate quasilinear elliptic systems involving p,q-superlinear and critical nonlinearities with singularities. Existence results are obtained by using properties of the best Hardy-Sobolev constant together with an approach developed by Brezis and Nirenberg.
Classification : 35B25, 35B33, 35D05, 35J55, 35J70
Keywords: degenerate quasilinear equations, elliptic system, critical exponent, singular perturbation
@article{EJDE_2008__2008__a83,
     author = {Miyagaki, Olimpio H. and Rodrigues, Rodrigo S.},
     title = {On the existence of weak solutions for $p,q${-Laplacian} systems with weights},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2008},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a83/}
}
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Miyagaki, Olimpio H.; Rodrigues, Rodrigo S. On the existence of weak solutions for $p,q$-Laplacian systems with weights. Electronic Journal of Differential Equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a83/