2 problems

Lattice-to-hyperplane extension conjecture. There exist constants $K:=K(d,L)>L$ and $J:=J(d,L)>L$, determined by $d$ and $L$, and a $K$-bilipschitz mapping…

p-Douglas conjecture. If $cvarphi$ satisfies the $p$-Douglas condition, then $cvarphi$ admits a $cmathscr{W}^{1,p}$-homeomorphic extension to $cmathbb{D}$.