Summary: This paper is concerned with the existence of solution for the Dirichlet problem \(-\Delta_pu= f(x,u)+h(x)\) in \(\Omega\), \(u=0\) on \(\partial\Omega\), when \(f(x,u)\) lies in some sense between the first and second eigenvalues of the \(p\)-Laplacian \(\Delta_p\). Extensions to more general operators which are \((p-1)\) homogeneous at infinity are also considered.