Anisotropic versions of the Brezis-Van Schaftingen-Yung approach at $s=1$ and $s=0$

Qingsong Gu, Qingzhong Huang

In 2014, Ludwig showed the limiting behavior of the anisotropic Gagliardo $s$-seminorm of a function $f$ as $s\to 1^{-}$ and $s\to 0^{+}$, which extend the results due t…