Opendata, web and dolomites


Variational approach to the regularity of the free boundaries

Total Cost €


EC-Contrib. €






Project "VAREG" data sheet

The following table provides information about the project.


Organization address
city: PISA
postcode: 56126

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Italy [IT]
 Total cost 1˙330˙325 €
 EC max contribution 1˙330˙325 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2019-STG
 Funding Scheme ERC-STG
 Starting year 2020
 Duration (year-month-day) from 2020-06-01   to  2025-05-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITA DI PISA IT (PISA) coordinator 1˙330˙325.00


 Project objective

The focus of this project is the regularity theory of free boundary problems. This is a fascinating topic, which combines methods from Analysis and Geometry, and has numerous applications to a large variety of problems in Physics, Engineering and Economy, which involve partial differential equations on domains whose boundary is free, that is, it is not a priori known. Typical examples are the Stefan problem, describing the evolution of a block of melting ice, and the American stock options. Since the shape of the boundary is free, it is a deep and usually extremely difficult question to study its fine structure. The regularity theory is precisely the art of deducing the local structure of the free boundary just by looking at a global energy-minimization property of the state function. In this project I aim to develop new techniques to study the regularity of the free boundaries and to give a precise description of the structure of the free boundaries around singular points. I will introduce a new variational method for the analysis of the free boundaries, aiming to solve several major open questions related to the classical one-phase, two-phase and the vectorial Bernoulli problems, the obstacle and thin-obstacle problems, which are the most important models both from a theoretical and applicative point of view. The techniques that I will develop in this project will have an impact on several domains, including the minimal surfaces, harmonic maps, free discontinuity problems, parabolic and non-local free boundary problems.

Are you the coordinator (or a participant) of this project? Plaese send me more information about the "VAREG" project.

For instance: the website url (it has not provided by EU-opendata yet), the logo, a more detailed description of the project (in plain text as a rtf file or a word file), some pictures (as picture files, not embedded into any word file), twitter account, linkedin page, etc.

Send me an  email ( and I put them in your project's page as son as possible.

Thanks. And then put a link of this page into your project's website.

The information about "VAREG" are provided by the European Opendata Portal: CORDIS opendata.

More projects from the same programme (H2020-EU.1.1.)

InsideChromatin (2019)

Towards Realistic Modelling of Nucleosome Organization Inside Functional Chromatin Domains

Read More  

ECOLBEH (2020)

The Ecology of Collective Behaviour

Read More  

NanoPD_P (2020)

High throughput multiplexed trace-analyte screening for diagnostics applications

Read More