Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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Corpidi e loro proprietà
Get PDFA corpid is a ring (K, +, ·), different from zero, such that (K, ·) is an inverse semigroup. We prove a characterization of corpids, some remarkable results about the lattice of the idempotents and other results concerning the idempotents and the zero divisors of a corpid. Finally, we are studiyng a notable set of ideals of corpids through which we study the endomorfisms of a corpid
On Green and Green-Lazarfeld conjectures for simple coverings of algebraic curves
Get PDFLet X be a smooth genus g curve equipped with a simple morphism f: X -> C, where C is either the projective line or more generally any smooth curve whose gonality is computed by finitely many pencils. Here we apply a method developed by Aprodu to prove that if g is big enough then X satisfies both Green and Green-Lazarsfeld conjectures. We also partially address the case in which the gonality of C is computed by infinitely many pencils
A conjecture implying the existence of non-convex Chebyshev sets in infinite-dimensional Hilbert spaces
Get PDFIn this paper, we propose the study of a conjecture whose positive solution would provide an example of a non-convex Chebyshev set in an infinite-dimensional real Hilbert space
On an approach to the construction of difference schemes for the moment equations of charge transport in semiconductors
Get PDFWe discuss the construction of a class of difference schemes for a hydrodynamical model of charge transport in semiconductors
Regularity of the inverse of a Sobolev homeomorphism
Get PDFWe establish a connection between A_Φ and G_Ψ classes of weights (see [13], [23]) in the context of Orlicz spaces. We give a generalization of a previous result (see [11]
Solvability of boundary value problems for nonlinear functional difference equations
Get PDFSufficient conditions for the existence of solutions of the periodic and anti-periodic boundary value problems for nonlinear functional difference equations are established, respectively
A note on certain classes of multivariable q-series transformations
Get PDFThe present note envisage to derive some new classes of multiple q-series transformations and reduction formulae. Special cases in terms ofthe known and new results are also derived
Some remark on a recent critical point result of nonsmooth Analysis
Get PDFThe aim of this paper is to investigate some consequences of a nonsmooth version, established in [13], of Ghoussoub’s general min-max principle [8, Theorem 1]. An application to a class of elliptic variational-hemivariational inequalities is also pointed out
A generalization of Bernoulli\u27s inequality
Get PDFWe prove a generalization of Bernoulli\u27s inequality and we apply this generalization to sharpen certain Weierstrass product inequalitie