Geodesic
Multiplicity of solutions for a quasilinear problem with supercritical growth
Electronic Journal of Differential Equations, Tome 2006 (2006).

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

Summary: 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__a178,
     author = {Figueiredo, Giovany M.},
     title = {Multiplicity of solutions for a quasilinear problem with supercritical growth},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2006},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a178/}
}
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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__a178/