Pólya-Szegő inequality
= Pólya-Szegő inequality
{c}
{wiki}
For $u\in W^{1,p}(\mathbb R^d)$, the <symmetric decreasing rearrangement> satisfies
$$
\|\nabla u^*\|_{L^p}\leq\|\nabla u\|_{L^p}.
$$
= Pólya-Szegő inequality
{c}
{wiki}
For $u\in W^{1,p}(\mathbb R^d)$, the <symmetric decreasing rearrangement> satisfies
$$
\|\nabla u^*\|_{L^p}\leq\|\nabla u\|_{L^p}.
$$