Geodesic
Multiplicity of solutions for a quasilinear problem with supercritical growth
Electronic journal of differential equations, Tome 2006 (2006)
The multiplicity and concentration of positive solutions are established for the equation

$ -\epsilon^{p}\Delta_{p}u+V(z)|u|^{p-2}u=|u|^{q-2}u +\lambda|u|^{s-2}u \quad\hbox{in }\mathbb{R}^N, $

where $1 less than p less than N, \epsilon, p lesss than q less than p^* \leq s, $p^*=fracNpN-p, lambdageq0$ and $V$ is a positive continuous function.$
Classification : 35A15, 35H30, 35B40
Keywords: variational method, penalization method, Moser iteration method 
@article{EJDE_2006__2006__a78,
     author = {Figueiredo,  Giovany M.},
     title = {Multiplicity of solutions for a quasilinear problem with supercritical growth},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1166.35301},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a78/}
}
TY  - JOUR
AU  - Figueiredo,  Giovany M.
TI  - Multiplicity of solutions for a quasilinear problem with supercritical growth
JO  - Electronic journal of differential equations
PY  - 2006
VL  - 2006
UR  - http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a78/
LA  - en
ID  - EJDE_2006__2006__a78
ER  - 
%0 Journal Article
%A Figueiredo,  Giovany M.
%T Multiplicity of solutions for a quasilinear problem with supercritical growth
%J Electronic journal of differential equations
%D 2006
%V 2006
%U http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a78/
%G en
%F EJDE_2006__2006__a78
Figueiredo,  Giovany M. Multiplicity of solutions for a quasilinear problem with supercritical growth. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a78/