Here we establish the existence of infinitely many nonradial solutions for a superlinear Dirichlet problem in annulii. Our proof relies on estimating the number of radial solutions having a prescribed number of nodal regions. We prove that, for k\u3e0 large, there exist exactly two radial solutions with k nodal regions (connected components of {x: u(x)≠0}). The problem need not be homogeneous.
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