Sacro Monte SPONSORS Santa Maria del Monte is a suggestive village inside the Park “Campo dei Fiori”, that offers some viewpoints on the Alps, Prealps, and also the profile, through its skyscrapers, of Milan. The village can be reached through the sacred path of the Chapels, which dates back to 1604 and is devoted to the Mysteries of the Rosary. Tradition says the Sanctuary of Santa Maria del Monte, famous in particularly for the cult of its Black Madonna, has been founded by Saint Ambrogio in 381, in memory of the victory over arian heresy. Next to the Sanctuary there is the Monastery, founded in the 15th century, where nuns still lives in seclusion. Every day the Sacro Monte of Varese, which belongs to UNESCO Site “The Sacred Mountains of Piedmont and Lombardy”, is destination of devoted people and pilgrims: the most famous one was Pope John Paul II, who visited it in 1984. Dipartimento di Scienza e Alta Tecnologia ORGANIZATION H. Beirão da Veiga Università di Pisa D. Cassani Dipartimento di Matematica - “F. Enriques” Università degli Studi dell’Insubria B. Ruf Villa Toeplitz was built in 1901 and is named after Polish banker Joseph Toeplitz, who bought it in 1914. In the 1920s the park was redesigned. An Italian garden, carachterized by a very original architecture of paths and plays of water, was built in the centre. To the east there is a large area, that is more English-style. Toeplitz and his wife Edvige planted a rich and varied vegetation that largely still exists. Thanks to ecleptic Lady Edvige, the villa soon became the focus of an intense cultural life. In 1972 the complex, that occupies approximately 4 hectares, was sold to the Municipality of Varese and the park was opened to the public. One of the wonders of Mathematics is you go somewhere in the world and you meet other mathematicians, and it’s like one big family. This family is a wonderful joy. (L. Nirenberg) THE RIEMANN INTERNATIONAL SCHOOL OF MATHEMATICS Università degli Studi di Milano ORGANIZES Dipartimento di Matematica www.rism.it Dipartimento di Matematica -“F. Brioschi” Villa Toeplitz and its park UNIVERSITÀ DEGLI STUDI DELL’INSUBRIA Dipartimento di Matematica e Applicazioni Dipartimento di Matematica -“G. Peano” PRIN 2012 - “Variational and perturbative aspects of nonlinear differential problems” A MEETING with BOARD OF RISM C. D. Pagani (Chair) - F. Tomarelli Politecnico di Milano LOUIS NIRENBERG D. Cassani Università degli Studi dell’Insubria B. Ruf Università degli Studi di Milano G. Benedek - G. Tessitore Università degli Studi di Milano Bicocca Varese, Villa Toeplitz June 10 - 13, 2014 RISM - RIEMANN INTERNATIONAL SCHOOL OF MATHEMATICS T UESDAY, 10 Chair: L. Modica 15.00 - 15.30 Registration 15.30 - 16.00 Opening at the presence of the Rector Prof. Alberto Coen Porisini 16.00 - 16.30 M. Platone, Louis Nirenberg: scienziato e amico 16.30 - 17.00 Coffee break 17.00 - 17.30 I. Capuzzo Dolcetta, Principal eigenvalue and entire solutions of V ILLA TOEPLITZ - V IA G . B . VICO, 4 6 T HURSDAY, 12 10.00 - 10.30 10.30 - 11.00 11.00 - 11.30 11.30 - 12.00 nonlinear degenerate elliptic equations Chair: C. Sbordone D. Lupo, Variational characterizations of weak solutions to the Dirichlet problem for mixed type equations Coffee break V. Benci, Generalized solutions of Burgers’ equation L. Boccardo, Regularizing effects and nonexistence in some quasilinear elliptic problems since the papers Brezis-Nirenberg and B-Gallouet-Orsina 18.00 - 18.45 Concert: Duo des Alpes* 12.15 Buffet 19.00 Cocktail - Buffet 15.00 - 15.30 A.M. Micheletti, Solutions for singularly perturbed Klein Gordon W EDNESDAY, 1 1 10.00 - 10.30 A. Cellina, On the Euler-Lagrange equation for variational problems 10.30 - 11.00 Coffee break 11.00 - 11.30 V. Coti Zelati, A variational approach to the Brown-Ravenhall operator 11.30 - 12.00 for the relativistic one-electron atom K. Payne, Critical growth for degenerate hyperbolic Goursat problems 12.00 Buffet 15.00 - 15.30 A. Vitolo, On removable singularities of certain fully nonlinear elliptic operators Coffee break “ t ravelling to Vienna…” Variations on “Là ci darem la mano” from Mozart’s Don Giovanni Franz Danzi (1763-1826) “ . ..the gates of St. Petersburg…” Sergei Rachmaninoff (1873-1943) “ . ..Yerevan, Mount Ararat…” 16.00 - 16.30 I. Birindelli, Symmetry minimizes the principal eigenvalue? The case of Vocalise, op.34 no.14 Impromptu Alexander Arutjunian (1920-2012) “ . ..from Hamburg to Lipsia…” “ . ..Paris!…” Camille Saint-Saens (1835-1921) “ . ..the bridge of Prague…” David Popper (1843-1913) Niccolò Paganini (1782-1840) Vittorio Monti (1868-1922) Lied ohne Worte op.109 Allegro appassionato, op.43 Gavotte Tarantella op.33 Variations on “Mosé” theme by Rossini, on one string Czardas the Pucci operator 18.30 Trip to Sacro Monte 20.00 Social Dinner Chair: D. Fortunato F RIDAY, 13 10.00 - 10.30 S. Terracini, On the eigenvalues of Aharonov-Bohm operators with varying poles 15.30 - 16.00 Coffee break 10.30 - 11.15 Coffee break 16.00 - 16.30 S. Pigola, Height estimates for graphs of constant mean curvature 11.15 - 11.45 16.30 - 17.00 G. Gilardi, On the Cahn-Hilliard equation with dynamic boundary P. Pucci, New existence results for entire solutions of quasilinear elliptic equations 11.45 Closing - Head of DiSAT, Prof. S. Serra Capizzano conditions Sonata in e minor for cello and continuo Antonio Vivaldi (1678-1741) “ . ..return to Italy, at last…” 15.30 - 16.00 EUROPE “ V enice, the Serenissima…” Felix Mendelssohn Bartholdy (1809-1847) Maxwell Proca systems on a Riemannian manifold with subcritical, critical and supercritical nonlinearity Chair: G. Cerami (*)A MUSICAL JOURNEY THROUGH Corrado Greco – Piano Corrado Greco got his piano degree “magna cum laude” at the age of 19 in 1981. In the following years he enriched his musical instruction thanks to teachers as Alberto Mozzati, Bruno Canino, Paul Badura-Skoda, Michele Campanella and Laura De Fusco. He later graduated at full marks in composition and electronic music at the Conservatorio “G. Verdi”, Milan. He has been a prizewinner of important national and international piano competitions and has performed as a soloist for some of the most important Italian concert institutions as well as for numerous musical associations and Festivals in US, Russia, Japan, Indonesia, Switzerland, France, Germany, England, Belgium, Spain, Portugal, Egypt, Slovenia, etc.. His curriculum includes numerous concerts in chamber music formations, which brought him to collaborate with wellknown chamber music groups and soloists. Recently he has been much acclaimed for a tour in piano duo with his former maestro, Bruno Canino. Beside that, he performed several times as soloist with orchestra. He authored several recordings for RAI. Besides his career as a performer, Corrado Greco is involved in educational and multimedia authoring activities. Since November 2007, Corrado Greco teaches at the“Verdi” Conservatory in Milan. Since 2001 he is in charge as Artistic Director of the concert series of the University of Insubria in Varese, where is also involved in teaching musical communication and media studies. Claude Hauri – Cello Born in 1976 in Lugano, he graduated from Zurich College of Music with Raphael Wallfisch after studying at the Lugano Conservatory with Taisuke Yamashita. Since then, Claude Hauri has played as principal cellist in the Youth World Orchestra, and as cello solo in the Ensembles Nuovo Contrappunto in Florence and Algoritmo in Rome. In chamber ensembles with Mario Ancillotti, Dora Schwarzberg, Pier Narciso Masi und Guy Bovet, he has given concerts in Europe, Australia and in South America, for Festivals such as the Marta Argerich Festival in Lugano, the Amici della Musica di Palermo, the Unione Musicale di Torino, the National Academy Melbourne, Musica Insieme di Bologna, the Biennale di Venezia, Nuova Consonanza Rom, Spazionovecento Cremona, IGNM Zurich, Associazione Musicale Lucchese, in the Teatro El Círculo in Rosario and the Fundación Kinor in Buenos Aires. As a soloist, he has collaborated with conductors as Denise Fedeli, Mario Ancillotti, Piero Gamba, Luis Gorelik and Reinaldo Zemba. He has a great interest in the collaboration with contemporary composers as Salvatore Sciarrino, Paul Glass, Mario Pagliarani, Sylvano Bussotti, Luis De Pablo und Dieter Ammann. His recordings were released by the labels Emi, Nuova Era, Jecklin, Radio Svizzera Italiana, Novecentomusica and Amadeus. He plays on a splendid Gian Battista Zanoli cello, dated 1740.