International Workshop


We are pleased to announce that the International Workshop on


will take place at Erice (Sicily) during the period August 28–September 5, 2018 under the auspices of the International School of Mathematics G. STAMPACCHIA, directed by H. Attouch, G. Buttazzo, P. Daniele, A. Maugeri.

Following earlier workshops held in Taormina in 1998, and in Erice in 1994, 2000, 2003, 2006, 2009, 2012, 2015, the Workshop aims at presenting state-of-the-art and current research directions in variational analysis and partial differential equations and systems, fields in which Guido Stampacchia was a master. The meeting will be hosted at the «Ettore Majorana» Foundation and Centre for Scientific Culture in Erice. Variational analysis encompasses a large area of modern mathematics, including the classic calculus of variations, the theories of perturbation, approximation, subgradient, subderivatives, set convergence and variational inequalities. The workshop is dedicated to Professor Alexander Ioffe in the occasion of his 80th birthday and aims at offering a review of the results achieved in the above research themes, specifying the used methods and pointing out the open problems together with outlines of the new research trends in the principal topics of variational analysis and applications

In the occasion of the above Workshop, the Journal of Optimization Theory and Applications, edited by Springer, will activate a Special Issue “Variational Analysis and Applications”. The participants to the above Workshop are invited to submit their papers; they will be reviewed like any other submission.

During the opening ceremony of the International Workshop, a Gold Medal in honour of Guido Stampacchia will be assigned for the sixth time, after an international competition, to a young mathematician, whose age be not greater than 35 years at the date of December 31st 2018, for his scientific contribution in the fields of Variational Analysis and Calculus of Variations. All the information about the medal can be found on the web site The five previous medals were awarded to:

Tristan Rivière (2003)

Giuseppe Mingione (2006)

Camillo De Lellis (2009)

Ovidiu Savin (2012)

Alessio Figalli (2015)

Nominations for the medal, which should include the motivation at the basis of the nomination and a curriculum vitae of the nominee, must be sent, before March 31st, 2018, by email to

[email protected]     or     [email protected]

or by mail to

Commissione Premio Stampacchia

Unione Matematica Italiana

Dipartimento di Matematica

Piazza di Porta San Donato 5



We are looking forward to seeing you in Erice!



Hedy ATTOUCH, Université de Montpellier ([email protected])

Giuseppe BUTTAZZO, University of Pisa ([email protected])

Patrizia DANIELE, University of Catania ([email protected])

Antonino MAUGERI, University of Catania ([email protected])



    • Evolutionary Projected Dynamical Systems
    • Infinite Dimensional Duality
    • Minimax Problems
    • Existence of Solutions for Jacobian and Hessian Equations
    • Optimal Control
    • Differential Inclusions
    • Dual Conditions for Nonconvex Functions
    • Moving Boundary Variational Problems
    • Inverse Variational Inequalities
    • Degenerate Transmission Problems
    • Obstacle Problems with Measurable Coefficients
    • Second Order Optimality Conditions
    • Infima over Sub-Level Sets
    • Relaxation Methods in Hilbert Spaces
    • New Energy Inversion in Saddle Point Problems
    • Stochastic Variational Inequalities


According to legend, Erice, son of Venus and Neptune, founded a small town on top of a mountain (750 metres above sea level) more than three thousand years ago. The founder of modern history – i.e. the recording of events in a methodic and chronological sequence as they really happened without reference to mythical causes – the great Thucydides ( ~500 B.C.), writing about events connected with the conquest of Troy (1183 B.C.) said: «After the fall of Troy some Trojans on their escape from the Achaei arrived in Sicily by boat and as they settled near the border with Sicanians all together they were named Elymi: their towns were Segesta and Erice.» This inspired Virgil to describe the arrival of the Trojan royal family in Erice and the burial of Anchise, by his son Enea, on the cost below Erice. Homer ( ~1000 B.C.), Theocritus ( ~300 B.C.), Plybius ( ~200 B.C.), Virgil ( ~50 B.C.), Horace ( ~20 B.C.), and others have celebrated this magnificent spot in Sicily in their poems. During seven centuries (XIII-XIX) the town of Erice was under the leadership of a local oligarchy, whose wisdom assured a long period of cultural development and economic prosperity which in turn gave rise to the many churches, monasteries and private palaces which you see today.
In Erice you can admire the Castle of Venus, the Cyclopean Walls ( ~800 B.C.)and the Gothic Cathedral ( ~1300 A.D.). Erice is at present a mixture of ancient and medieval architecture. Other masterpieces of ancient civilization are to be found in the neighbourhood: at Motya (Phoenician), Segesta (Elymian), and Selinunte (Greek). On the Aegadian Islands – theatre of the decisive naval battle of the first Punic War (264-241 B.C.) – suggestive neolithic and paleolithic vestiges are still visible: the grottoes of Favignana, the carvings and murals of Levanzo.
Splendid beaches are to be found at San Vito Lo Capo, Scopello, and Cornino, and a wild and rocky coast around Monte Cofano: all at less than one hour’s drive from Erice.