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 
@article{EJDE_2005__2005__a265,
     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__a265/}
}
TY  - JOUR
AU  - Zhang, Guoqing
AU  - Liu, Xiping
AU  - Liu, Sanyang
TI  - Remarks on a class of quasilinear elliptic systems involving the $(p,q)$-Laplacian
JO  - Electronic Journal of Differential Equations
PY  - 2005
VL  - 2005
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a265/
LA  - en
ID  - EJDE_2005__2005__a265
ER  - 
%0 Journal Article
%A Zhang, Guoqing
%A Liu, Xiping
%A Liu, Sanyang
%T Remarks on a class of quasilinear elliptic systems involving the $(p,q)$-Laplacian
%J Electronic Journal of Differential Equations
%D 2005
%V 2005
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a265/
%G en
%F EJDE_2005__2005__a265
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__a265/