January 27-29, 2025

Regularity and geometric aspects of nonlinear PDEs

Milan 2025

Dipartimento di Matematica, Politecnico di Milano, Italy

 

Funded by PRIN 2022 grant 2022R537CS NO^3

 

 

 

  • Laura Abatangelo (Politecnico di Milano)

  • Dorin Bucur (Université de Savoie)

  • Mouhamed Moustapha Fall (AIMS Senegal)

  • Veronica Felli (Università degli Studi di Milano-Bicocca)

  • Xavier Fernández-Real (EPFL)

  • Alessandro Iacopetti (Università di Torino)

  • Sven Jarohs (Goethe-University Frankfurt am Main)

  • María Medina de la Torre (Universidad Autónoma de Madrid)

  • Benedetta Pellacci (Università degli Studi della Campania `Luigi Vanvitelli')

  • Xavier Ros Oton (ICREA and Universitat de Barcelona)

  • David Ruiz (Universidad de Granada)

  • Eugenio Vecchi (Alma Mater Studiorum Università di Bologna)

Program

 

Day 1

Monday, January 27th

14:30 - 15:20

A. IACOPETTI, Shape Optimization and Overdetermined Problems in Cones and Cylinders

15:30 - 16:20

S. JAROHS, The exterior Bernoulli problem for the half Laplacian

Break 16:30 - 17:00

17:00 - 17:50

E. VECCHI, Mixed local-nonlocal singular problems

 

Day 2

Tuesday, January 28th

09:00 - 09:50

D. RUIZ, Compactly supported solutions to the stationary 2D Euler equations with non-circular streamlines - CANCELLED

10:00 - 10:50

M. MEDINA DE LA TORRE, Blowing-up solutions to critical competitive systems in dimensions 3 and 4

Break 11:00-11:30

11:30-12:20

X. ROS OTON, Boundary regularity for semilinear elliptic PDE

Lunch 12:30 - 14:30

14:30 - 15:20

L. ABATANGELO, On solutions to a class of degenerate equations with the Grushin operator

15:30 - 16:20

X. FERNÁNDEZ-REAL, Stable Free Boundaries in Dimension 3: Bernoulli and Allen- Cahn

Break 16:30 - 17:00

17:00 - 17:50

M. FALL, Uniqueness and non-degeneracy properties of the Generalized Benjamin-Ono equation 

 

Day 3

Wednesday, January 29th

09:00 - 09:50

B. PELLACCI, Optimization problems arising in populations dynamic

10:00 - 10:50

D. BUCUR, A sharp quantitative nonlinear Poincaré inequality on convex domains

Break 11:00-11:30

11:30-12:20

V. FELLI, Neumann eigenvalues in domains with small holes

 

Book of Abstract (PDF)

Registration Form

deadline 06-01-2025

 

The Workshop will take place at the Mathematics Departement of Politecnico di Milano

 

Room B.5.3 - 5th floor
Building 14
Via Bonardi n. 9
20133 Milano - Italy