Eigenvalues of the p-Laplacian in fractal strings with indefinite weights ✩

In this paper we study the spectral counting function of the weighted p-Laplacian in fractal strings, where the weight is allowed to change sign. We obtain error estimates related to the interior Minkowski dimension of the boundary. We also find the asymptotic behavior of eigenvalues.  2004 Elsevier Inc. All rights reserved.