Special Session 99: 

Periodic solutions for critical fractional problems

Vincenzo Ambrosio
Universit\`a Politecnica delle Marche
Italy
Co-Author(s):    
Abstract:
In this talk we present some existence results for critical fractional elliptic periodic problems driven by the nonlocal operator $(-\Delta+m^{2})^{s}$ with $m\geq 0$ and $s\in (0, 1)$. When $m>0$, we prove the existence of a nonconstant periodic solution via suitable variational methods. After that, we consider the case $m=0$ by using a careful procedure of limit.