Quasilinear eigenvalue problems with singular weights for the p-Laplacian

In this paper we study quasilinear homogeneous eigenvalue problem with the p-Laplacian involving singular weights. We work on a bounded domain with Lipschitzian boundary and the weights are negative powers of the distance from the boundary. We generalize results concerning the existence and properties of the principal eigenvalue and corresponding eigenfunctions for both quasilinear unweighted case and singular linear case.