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.
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,...
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 per sufficientemente piccolo. Qui , e sono funzioni strettamente positive e periodiche e è un potenziale superquadratico (ad esempio ).
We present some regularity properties of periodic solutions to a class of singular potential problems and we discuss the existence of a regular solution.
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