EUDML

Si dimostra l'esistenza di infinite soluzioni «multi-bump» - e conseguentemente il comportamento caotico - per una classe di sistemi Hamiltoniani del secondo ordine della forma $- \ddot{q} + q = (g_{1} (ω t) + g_{2} (t / ω)) V^{'} (q)$ per $ω$ sufficientemente piccolo. Qui $q \in R^{n}$ , $g_{1}$ e $g_{2}$ sono funzioni strettamente positive e periodiche e $V$ è un potenziale superquadratico (ad esempio $V (q) = {|q|}^{4}$ ).

Some properties of collision and non-collision orbits for a class of singular dynamical systems

Vittorio Coti Zelati; Enrico Serra — 1992

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We present some regularity properties of periodic solutions to a class of singular potential problems and we discuss the existence of a regular solution.

A variational approach to homoclinic orbits in Hamiltonian systems.

Vittorio Coti Zelati; Ivar Ekeland; Eric Séré — 1990

Mathematische Annalen

Index estimates and critical points of functionals not satisfying Palais-Smale

Vittorio Coti Zelati; Ivar Ekeland; Pierre-Louis Lions — 1990

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

An Update on bdim the Italian Digital Mathematical Library

Zelati, Vittorio Coti — 2011

Towards a Digital Mathematics Library. Bertinoro, Italy, July 20-21st, 2011

bdim has been in operation since the fall of 2010 and has been slowly growing in the last year. I will report here: 1) on what is new in bdim with respect to the first presentation in DML 2010; 2) on some of the technical aspects of our implementation; 3) on the projects for the near future; 4) on some of the issues related to possible integration of bdim with EuDML.

bdim: the Italian Digital Mathematical Library

Coti Zelati, Vittorio — 2010

Towards a Digital Mathematics Library. Paris, France, July 7-8th, 2010

We present bdim (Bibliteca Digitale Italiana di Matematica) the Italian project of math digitization. The project has been started by SIMAI (Società Italiana di Matematica Applicata e Industriale) and UMI (Unione Matematica Italiana) with initial support from the Biblioteca Digitale Italiana and the Italian Ministry of Beni and Attività Culturali and with the help of Numdam. At the moment bdim consists of approximately 1,300 articles, 11,000 pages (articles from Bollettino Unione Matematica Italiana,...