11 articles in this issue
Gord Sinnamon
Strong forms of Schur's Lemma and its converse are proved for maps taking non-negative functions to non-negative functions and having formal adjoints. These results are applied to give best constants in a large class of weighted Lebesgue norm inequalities... see more
Abdellah El Kinani
We examine the structure of a class of Sobolev spaces. We also show that the unitization of a locally uniformly A-convex algebra is not, in general, of the same type.
Giuseppina Barletta, Roberto Livrea
The purpose of the present paper is to establish a multiplicity result for some differencial system.
Mohammed Al Horani
We are concerned with a degenerate first order identification problem in a Banach space. Suitable hypotheses on the involved operators are made in order to reduce the given problem to a non-degenerate case. Some applications to partial differential ... see more
M. El-Ghoul, A. M. Soliman
In this article we will describe some types of retractions of chaotic manifold. We also will introduce a definition for the fractional dimension of the chaotic manifold. Some theorems related to them will be obtained. Some applications will also be mentio... see more
Alexander M. Blokhin, I. G. Sokovikov
A mathematical model of charge transport in semiconductors is considered. The model is a quasilinear system of differential equations. A problem of finding an additional entropy conservation law and system symmetrization are solved.
Igor Burban, Hans Georg Freiermuth
We present a method for constructing arithmetically Gorenstein subschemes of P^n of large codimension using sections of so called Buchsbaum-Rim sheaves and implement it in the computer algebra system SINGULAR.
Alberto Amato
A mixed hypergraph is a triple H=(S,C,D), where S is the vertex set and each of C,D is a family of not-empty subsets of S, the C-edges and D-edges respectively. A strict k-colouring of H is a surjection f from the vertex set into a set of colours {1... see more
Loredana Caso, Paola Cavaliere, Maria Transirico
In this paper some W^{2, p}-estimates for the solutions of the Dirichlet problem for a class of elliptic equations with discontinuous coefficients in unbounded domains are obtained. As a consequence, an existence and uniqueness theorem for such a problem ... see more
Giovanni Cimatti
A result of existence and uniqueness of solutions is presented for the system of P.D.E. modelling the eddy currents and the heating in a cylindrical conductor.
Francesca Vetro
Let Y be an elliptic curve, p a prime number and WH_{p,n}(Y) the Hurwitz space that parametrizes equivalence classes of p-sheeted branched coverings of Y , with n branch points, n - 1 of which are points of simple ramification and one of total ramificatio... see more