Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 31, pp. 1-7.
Title: Multiplicity of solutions for a quasilinear problem
with supercritical growth
Author: Giovany M. Figueiredo (Univ. Federal do Para, Brazil)
Abstract:
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 $10$, $p