1 citations · 2 across the 10 of their papers we have counts for
11 papers
Regularity theory for parabolic operators in the half-space with boundary degeneracy
Giorgio Metafune, Luigi Negro, Chiara Spina
We study elliptic and parabolic problems governed by the singular elliptic operators \begin{align*} \mathcal L=y^{α_1}\mbox{Tr }\left(QD^2_xu\right)+2y^{\frac{α_1+α_2}{2}}q\cdot \n…
Singular parabolic problems in the half-space
Giorgio Metafune, Luigi Negro, Chiara Spina
We study elliptic and parabolic problems governed by singular elliptic operators \begin{equation*} \mathcal L =\sum_{i,j=1}^{N+1}q_{ij}D_{ij}+\frac c y D_y \end{equation*} in the h…
A unified approach to degenerate problems in the half-space
Giorgio Metafune, Luigi Negro, Chiara Spina
We study elliptic and parabolic problems governed by the singular elliptic operators \begin{equation*} \mathcal L =y^{α_1}Δ_{x} +y^{α_2}\left(D_{yy}+\frac{c}{y}D_y -\frac{b}{y^2}\r…
Degenerate operators on the half-line
Giorgio Metafune, Luigi Negro, Chiara Spina
We study elliptic and parabolic problems governed by the singular elliptic operators in , where $V…
Anisotropic Sobolev spaces with weights
Giorgio Metafune, Luigi Negro, Chiara Spina
We study Sobolev spaces with weights in the half-space , adapted to the singular elliptic operators \begin{equation*} \mathca…
Rellich inequalities in bounded domains
G. Metafune, L. Negro, M. Sobajima +1
We find necessary and sufficient conditions for the validity of weighted Rellich inequalities in Lp for functions in bounded domains vanishing at the boundary. General operators li…