Special Session 56: Variational methods for nonlinear PDEs

Long-range phase transition equations

Serena Dipierro
University of Western Australia
Australia
Co-Author(s):    
Abstract:
We discuss an improvement of flatness result for nonlocal phase transitions and, for a class of nonlocal equations that includes the fractional Allen-Cahn equation, we obtain a result in the same spirit of a celebrated theorem of Savin for the classical Allen-Cahn equation.