This intensive week of PDEs is a joint initiative of some research groups in Italy (Turin and Rome) and Belgium (Brussels). The morning sessions are dedicated to two mini-courses by Angela Pistoia (Università di Roma "La Sapienza") and Jean Dolbeault (CEREMADE Université Paris-Dauphine). There will be also some seminars by some of the participants. During the afternoons, there will be the opportunity to work on ongoing collaborations in pairs or small groups. The meeting aims to intensify the existing collaborations and to stimulate interactions between participants.