Geodesic
Remarks on a class of quasilinear elliptic systems involving the \((p,q)\)-Laplacian
Electronic journal of differential equations, Tome 2005 (2005)
We study the Nehari manifold for a class of quasilinear elliptic systems involving a pair of (p,q)-Laplacian operators and a parameter. We prove the existence of a nonnegative nonsemitrivial solution for the systems by discussing properties of the Nehari manifold, and so global bifurcation results are obtained. Thanks to Picone's identity, we also prove a nonexistence result.
Classification : 35B32, 35J20, 35J50, 35P15
Keywords: Nehari manifold, (p, q)-Laplacian, variational methods 
@article{EJDE_2005__2005__a165,
     author = {Zhang,  Guoqing and Liu,  Xiping and Liu,  Sanyang},
     title = {Remarks on a class of quasilinear elliptic systems involving the {\((p,q)\)-Laplacian}},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1129.35362},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a165/}
}
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Zhang,  Guoqing; Liu,  Xiping; Liu,  Sanyang. Remarks on a class of quasilinear elliptic systems involving the \((p,q)\)-Laplacian. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a165/