Geodesic
Existence of solutions for a class of elliptic systems in \(\mathbb R^N\) involving the p-Laplacian
Electronic journal of differential equations, Tome 2003 (2003)
Using a variational approach, we study a class of nonlinear elliptic systems derived from a potential and involving the p-Laplacian. Under suitable assumptions on the nonlinearities, we show the existence of nontrivial solutions.
Classification : 35P65, 35P30
Keywords: p-Laplacian, nonlinear elliptic system, mountain pass theorem 
@article{EJDE_2003__2003__a81,
     author = {Djellit,  Ali and Tas,  Saadia},
     title = {Existence of solutions for a class of elliptic systems in \(\mathbb {R^N\)} involving the {p-Laplacian}},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1109.35322},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a81/}
}
TY  - JOUR
AU  - Djellit,  Ali
AU  - Tas,  Saadia
TI  - Existence of solutions for a class of elliptic systems in \(\mathbb R^N\) involving the p-Laplacian
JO  - Electronic journal of differential equations
PY  - 2003
VL  - 2003
UR  - http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a81/
LA  - en
ID  - EJDE_2003__2003__a81
ER  - 
%0 Journal Article
%A Djellit,  Ali
%A Tas,  Saadia
%T Existence of solutions for a class of elliptic systems in \(\mathbb R^N\) involving the p-Laplacian
%J Electronic journal of differential equations
%D 2003
%V 2003
%U http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a81/
%G en
%F EJDE_2003__2003__a81
Djellit,  Ali; Tas,  Saadia. Existence of solutions for a class of elliptic systems in \(\mathbb R^N\) involving the p-Laplacian. Electronic journal of differential equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a81/