Rigidity of minimizers in nonlocal phase transitions
  We obtain the classification of certain global bounded solutions for semilinear nonlocal equations of the type $$\triangle^s u=W'(u)$$ in $\mathbb{R}^n$,with $s \in (1/2 ,1),$ where $W$ is a double well potential. 
Ovidiu Savin
math.AP