In this paper we consider the analogue of the Courant nodal domain theorem for the nonlinear eigenvalue problem for the p-Laplacian. In particular we prove that if uln is an eigenfunction associated… (More)

For p 12 11 , the eigenfunctions of the non-linear eigenvalue problem for the p-Laplacian on the interval (0, 1) are shown to form a Riesz basis of L2(0, 1) and a Schauder basis of Lq(0, 1) whenever… (More)

We study the role played by the indefinite weight function a(x) on the existence of positive solutions to the problem −div (|∇u|∇u) = λa(x)|u|u+ b(x)|u|u, x ∈ Ω, ∂u ∂n = 0, x ∈ ∂Ω , where Ω is a… (More)

The following nonhomogeneous Dirichlet boundary value problem for the one-dimensional p-Laplacian with 1 < p < ∞ is considered: −(|u′|p−2u′)′ − λ|u|p−2u = f(x) for 0 < x < T ; u(0) = u(T ) = 0, (*)… (More)

In this paper we study the existence of positive solutions for problems of the type −∆pu(x) = u(x)q−1h(x, u(x)), x ∈ Ω, u(x) = 0, x ∈ ∂Ω, where ∆p is the p-Laplace operator and p, q > 1. If p = 2,… (More)

This paper presents a new configuration of a main traction converter with a medium-frequency transformer (MFT) using matrix converters intended for locomotives and particularly for suburban units… (More)

Energy storage systems (ESSs) play a significant role in performance improvement of future electric traction systems. This paper investigates an ESS based on supercapacitors for trams as a reliable… (More)

This paper presents research motivated by industrial demand for special traction drive topology devoted to minimization of traction transformer weight against topology with classical 50Hz traction… (More)