Geodesic
Remarks on a class of quasilinear elliptic systems involving the $(p,q)$-Laplacian
Electronic Journal of Differential Equations, Tome 2005 (2005).

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

Summary: 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 
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     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},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a65/}
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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__a65/