| Contents |
| We consider the boundary value problem
\[
\begin{array}{c}
-\Delta_pu=\lambda u^+-\mu u^- +g(u)+h, \mbox{ in } \Omega,\\
u|_{\partial\Omega}=0,
\end{array}
\]
where $-\Delta$ is the $p$-Laplacian, $(\lambda,\mu)$ is a point in the associated Fucik Spectrum, $g$ is a bounded continuous function, $h\in L^{\infty}$, and $\Omega$ is a smooth bounded domain. We prove that if an appropriate Landesman-Lazer condition is satisfied, then this resonance problem has at least one weak solution. The novelty lies in the fact that $(\lambda,\mu)$ lies outside of the range of values considered in previous papers. |
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