Shape Optimization and Isoperimetric and Functional Inequalities

23-27 September, 2019
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The school will be held in the conference hall of the Bellavista Relax Hotel in Levico Terme (Trento).
Participants will be lodged in the same hotel.


The main purpose of the workshop is to bring together specialists working on various topics involving geometric inequalities, isoperimetric and functional inequalities, partial differential equations on variable domains, with particular attention to the dependence of the solutions of the state equations (generally partial differential equations) on the  geometry of their domain of definition. Precisely, we will involve specialists on the following topics:

  • shape optimization problems
  • isoperimetric and functional inequalities
  • free boundary problems
  • spectral optimization problems
  • convex geometric tools and geometric inequalities
  • free boundary regularity of optimal shapes
  • numerical aspects of singular shapes
  • geometric flows and PDE's

Invited speakers

G. Allaire             
M. Ashbaugh 
M. van den Berg 
G. Bouchitté       
L. Brasco           
F. Brock             
A. Cianchi           
B. Colbois 
I. Fragala 
N. Fusco 
A. Giacomini 
A. Henrot 
D. Krejcirik 
J. Lamboley 
R. Laugesen 
A. Mercaldo 
C. Nitsch 
E. Oudet 
I. Polterovich 
A. Pratelli 
P. Salani 
B. Velichkov


Monday, September 23
9:00 Welcome
Invited talks
13:00 Lunch
Young participants talks
19:00 Dinner

Tuesday, September 24
9:00 Invited talks
13:00 Lunch
Young participants talks
19:00 Dinner

Wednesday, September 25
​9:00 Invited talks
13:00 Lunch
Open problems session
19:00 Dinner

Thursday, September 26
​9:00 Invited talks
13:00 Lunch
Young participants talks
19:00 Dinner

Friday, September 27
​9:00 Invited talks
13:00 Lunch
End of the conference

List of Abstracts:

Please follow this link


  • D. Bucur (Chambéry, France)
  • G. Buttazzo (Pisa, Italy)
  • C. Trombetti (Napoli, Italy)

Scientific organizers

  • Dorin Bucur (Université de Savoie)
  • Giuseppe Buttazzo (Università di Pisa)
  • Cristina Trombetti (Università di Napoli)


The accomodation fees are covered by the organizers for the invited speakers only. The other registered participants should pay for their accomodation from their own grants.

The workshop will be held in Belavista Relax Hotel. A limited number of rooms will be available at a negociated price. The price for a full board accomodation (hotel and meals) ranges approximately between 70 Euros (in a shared double room) to 95 Euros (in a single occupied, double room).

In the case you are interested, please contact A. Micheletti, micheletti [at], specifing the type of room and the arrival/departure date.

The Conference is organised with the financial support of the CIRM Trento, GNAMPA and Institut Universitaire de France​