Critical functions and blow-up asymptotics for the fractional Brezis--Nirenberg problem in low dimension

Nicola De Nitti, Tobias König

For $s\in (0,1)$ and a bounded open set $\Omega \subset {\mathbb{R}}^N$ with $N>2s$, we study the fractional Brezis--Nirenberg type minimization problem of finding $$ S(a) := \inf \frac{…