Geodesic
On the existence of weak solutions for \(p,q\)-Laplacian systems with weights
Electronic journal of differential equations, Tome 2008 (2008)
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},
     year = {2008},
     volume = {2008},
     zbl = {1173.35451},
     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/