Le Matematiche  

Francesco Nicolosi, Paolo E. Ricci

Sono raccolte in questo Volume alcune delle conferenze svolte durante il 3^o Simposio Internazionale Problemi Attuali dell’Analisi e della Fisica Matematica, dedicato alla memoria di Gaetano Fichera, che si è svolto a Taormina dal 29 Giugno al 1 Luglio, 2... see more

Wolfgang L. Wendland

Dear Dr. Matelda Fichera, Prof. Dr. Maria Pia Colautti, Dr. Anna MariaFichera, Dr. Massimo Fichera,Gaetano Fichera passed away at the age of 74 June 1st just 10 years ago. He left behind his dear wife Dr. Mathelda Fichera after 44 years of happy togethern... see more

Annamaria Barbagallo

The author presents dynamic elastic traf?c equilibrium problems with data depending explicitly on time and studies under which assumptions the continuity of solutions with respect to the time can be ensured. In particular, regularity results for solutions... see more

Peter Berglez

We consider pseudoanalytic functions depending on two or three real variables. They are characterized by the corresponding Bers-Vekua equations. In the case of two dimensions we use the complex notation whereas for the case of three variables the concept ... see more

Marco Biroli, Silvana Marchi

We state a Wiener criterion at the boundary related to p-homogeneous strongly local Riemannian type Dirichlet forms.

Marco Biroli, Paola Vernole

We consider a measure valued map a(u) de?ned on D where D is a subspace of L^p(X,m) with X a locally compact Hausdorff topological space with a distance under which it is a space of homogeneous type. Under assumptions of convexity, Gateaux differentiabili... see more

I. Capuzzo Dolcetta, A. Vitolo

We analyze the validity of the Maximum Principle for viscosity solutions of fully nonlinear second order elliptic equations in general unbounded domains under suitable structure conditions on the equation allowing notably quadratic growth in the gradient ... see more

Sandra Carillo

Evolution problems in materials with memory are here considered.Thus, linear integro-differential equations with Volterra type kernel areinvestigated. Speci?cally, initial boundary value problems are studied;physical properties of the material under inves... see more

Caterina Cassisa, Paolo E. Ricci

The monomiality principle was introduced by G. Dattoli, in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials. In this article we show a general technique to extend themonomiality approac... see more

Wenchang Chu, Xiaoxia Wang, Deyin Zheng

The application of the residue theorem to bilateral hypergeometric series identities is systematically reviewed by exemplifying three classes of summation theorems due to Dougall (1907), Jackson (1949, 1952) and Slater-Lakin (1953).

Alberto Cialdea

After recalling Fichera’s fundamental results in the study of the problem of the completeness of particular solutions of a partial differential equation, we give some new completeness theorem. They concern the Dirichlet problem for a general elliptic oper... see more

Francesco A. Costabile, Annarosa Serpe

We give a constructive proof of the existence and uniqueness of the solution, under certain conditions, by Picard’s iteration. Moreover Newton’s iteration method is considered for the numerical computation of the solution.

Mauro Fabrizio, Barbara Lazzari

Dedicated to the memory of Gaetano FicheraIn this paper we show that several free energies can be related to a material with fading memory with different domains of de?nition and topologies. As Fichera has proved, the study of stability can be affected by... see more

A. Farina, A. Fasano, L. Fusi, K.R. Rajagopal

We consider the one-dimensional shearing motion of a material exhibiting elastic behaviour when the stress is below some threshold. The threshold represents a limit to the deformability, i.e. no further deformation can occur on increasing the stress. The ... see more

Felice Iavernaro, Donato Trigiante

Discrete mathematics has been neglected for a long time. It has been put in the shade by the striking success of continuous mathematics in the last two centuries, mainly because continuous models in physics proved very reliable, but also because of the gr... see more

Francesco Nicolosi, Alexander A. Kovalevsky

We consider the Dirichlet problem for a class of degenerate nonlinear elliptic fourth-order equations with strengtheningly monotone principal parts, absorbing lower-order terms and L1-right-hand sides. We establish existence of solutions of the given prob... see more

Andrea Laforgia, Pierpaolo Natalini

We present a survey of the most important inequalities and monotonicity, concavity (convexity) results of the zeros of Bessel functions. The results refer to the de?nition J?? of the zeros of C? (x) = J? (x) cosa -Y? (x) sina, formulated in [6], where ? i... see more

Maria Rosaria Lancia

We study second order transmission problems across either a fractal surface or across the corresponding pre-fractal surface. Existence uniqueness and regularity results for the strict solution in both cases are proved.The asymptotic behaviour of the solut... see more

Ermanno Lanconelli

Let H be a linear second order partial differential operator with non-negative characteristic form in a strip S ? R^N ×R. We assume that H as a fundamental solution, smooth out of its poles and bounded from above and from below by Gaussian kernels modeled... see more

Flavia Lanzara, Vladimir Maz'ya, Gunther Schmidt

We present an extension of approximate quasi-interpolation on uniformly distributed nodes, to functions given on a set of nodes close to an uniform, not necessarily cubic, grid.

Giulio Trombetta

Let X be a real in?nite-dimensional Banach space and ? a measure of noncompactness on X. Let ? be a bounded open subset of X and A : ? ? X a ?-condensing operator, which has no ?xed points on ??.Then the ?xed point index, ind(A,?), of A on ? is de?ned (se... see more

Maria Agostina Vivaldi

In this talk some model examples of second order elliptic transmission problems with highly conductive layers will be described. Regularity and numerical results for solutions of transmission problems across fractal layers imbedded in Euclidean domains wi... see more

Darko Žubrinic

Let X be a space of measurable real functions defined on a fixed open set O ? R^N . It is natural to define the singular dimension of X as the supremum of Hausdorff dimension of singular sets of all functions in X.We say that f ? X is a maximally singular... see more