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. |
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