Existence results for quasilinear elliptic systems in \(\mathbb R^N\)
Electronic journal of differential equations, Tome 1999 (1999)
We prove existence results for the quasilinear elliptic system

$ -\Delta_{p}u = \lambda a(x)|u|^{\gamma-2}u +\lambda b(x) |u|^{\alpha -1}|v|^{\beta +1}u, $

Classification : 35P30, 35J70, 35B45, 35B65
Keywords: p-Laplacian, nonlinear eigenvalue problems, homogeneous Sobolev spaces, maximum principle, palais-Smale condition
@article{EJDE_1999__1999__a124,
     author = {Stavrakakis,  N.M. and Zographopoulos,  N.B.},
     title = {Existence results for quasilinear elliptic systems in \(\mathbb {R^N\)}},
     journal = {Electronic journal of differential equations},
     year = {1999},
     volume = {1999},
     zbl = {0934.35113},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a124/}
}
TY  - JOUR
AU  - Stavrakakis,  N.M.
AU  - Zographopoulos,  N.B.
TI  - Existence results for quasilinear elliptic systems in \(\mathbb R^N\)
JO  - Electronic journal of differential equations
PY  - 1999
VL  - 1999
UR  - http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a124/
LA  - en
ID  - EJDE_1999__1999__a124
ER  - 
%0 Journal Article
%A Stavrakakis,  N.M.
%A Zographopoulos,  N.B.
%T Existence results for quasilinear elliptic systems in \(\mathbb R^N\)
%J Electronic journal of differential equations
%D 1999
%V 1999
%U http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a124/
%G en
%F EJDE_1999__1999__a124
Stavrakakis,  N.M.; Zographopoulos,  N.B. Existence results for quasilinear elliptic systems in \(\mathbb R^N\). Electronic journal of differential equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a124/