Giorgio Metafune

most citedLp estimates for the Caffarelli-Silvestre extension operators

1 citations · 1 across the 1 of their papers we have counts for

collaborators

Showing math.APShow all

2 papers · 1 filter

math.AP2024

Domain characterization for Schrödinger operators with sub-quadratic singularity

Giorgio Metafune, Motohiro Sobajima

We characterize the domain of the Schrödinger operators $S = - Δ + c ∣ x ∣^{- α}$ in $L^{p} (R^{N})$ , with $0 < α < 2$ and $c \in R$ . When $α p < N$ , the domain characterization is ess…

math.AP2021★ 1 cited

Lp estimates for the Caffarelli-Silvestre extension operators

Giorgio Metafune, Luigi Negro, Chiara Spina

We study elliptic and parabolic problems governed by the singular elliptic operators Delta_x+c\yD_y-b\y^2 on the half-space R^{N+1}_+.