2023 Wilmington NC USA

Analysis of PDEs and Free Boundary Problems

 Organizer(s):
Name:
Affiliation:
Country:
Stefano Biagi
Polytechnic of Milan
Italy
Eugenio Vecchi
Universita' di Bologna
Italy
Serena Dipierro
University of Western Australia
Australia
 Abstract:  
  The purpose of this Special Section is to present some recent trends and progress in the analysis of PDEs. Our aim is to cover as much ``PDEs settings`` as possible, and to create profitable exchanges of ideas among these settings. For example, the contributes that we have in mind focus on: (1) Linear PDEs of integer and fractional orders in Euclidean setting (harmonic and poly-harmonic operators, fractional Laplacian...); (2) Semi-linear and/or fully non-linear PDEs in Euclidean setting (p-Laplacian and fractional p -Laplacian); (3) Linear PDEs on Riemannian and sub-Riemannian manifolds; (4) Free boundary problems. As it regards the type of results that we expect, we are completely open-minded: existence and non-existence results; multiplicity of solutions and Gibbons-type results; maximum principles and applications to the symmetry of solutions; qualitative results such as Harnack`s inequalities; regularity of the free boundary in various settings. The list of (possible) speakers that we have in mind comprehends both young talented researchers and worldwide recognized experts of PDEs.

List of approved abstract