In this paper, we establish some multiplicity results for the following Neumann problem \begin{center} $\left \{ \begin{array}{ll} -div(\mid\nabla u\mid^{p-2}\nabla u)+ \lambda(x)\mid u \mid^{p-2}u= \alpha(x)f(u) & \mbox{ in \Omega } \\ \partial u/\partial \nu=0 & \mbox{ on \partial\Omega}. \end{array} \right.$ \end{center} The multiple solutions are obtained by combining an existence theorem recently proved by G.Anello and G.Cordaro with well known critical point theorems.

### Multiplicity results for a Neumann problem involving the p-Laplacian

#### Abstract

In this paper, we establish some multiplicity results for the following Neumann problem \begin{center} $\left \{ \begin{array}{ll} -div(\mid\nabla u\mid^{p-2}\nabla u)+ \lambda(x)\mid u \mid^{p-2}u= \alpha(x)f(u) & \mbox{ in \Omega } \\ \partial u/\partial \nu=0 & \mbox{ on \partial\Omega}. \end{array} \right.$ \end{center} The multiple solutions are obtained by combining an existence theorem recently proved by G.Anello and G.Cordaro with well known critical point theorems.
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2003
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/23649