Special Session 34: Variational methods for discrete and continuous boundary value problems (with applications)
Contents
We study on bounded domains of ${\bf R}^N$ the multiplicity of weak solutions of quasilinear elliptic problem involving the $p$-Laplace operator
when the nonlinearity behaves as $|u|^{p-2}u$ at infinity.
Both the non--resonant and the resonant case are analyzed. Furthermore, we consider an analogous problem on ${\bf R}^N$.