• Corpus ID: 245853535

# Anisotropic Sobolev spaces with weights

@inproceedings{Metafune2021AnisotropicSS,
title={Anisotropic Sobolev spaces with weights},
author={Giorgio Metafune and Luigi Negro and Chiara Spina},
year={2021}
}
• Published 3 December 2021
• Mathematics
We study Sobolev spaces with weights in the half-space R + = {(x, y) : x ∈ R N , y > 0}, adapted to the singular elliptic operators L = y∆x + y α2 ( Dyy + c y Dy − b y )
2 Citations
• Chemistry, Computer Science
Journal of Evolution Equations
• 2022
This work studies elliptic and parabolic problems governed by the singular elliptic operators yαDyy+cyDy-V(y),α∈R with V as potential having nonnegative real part.

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Journal of Evolution Equations
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We consider the second-order elliptic operator L=Δ+(a-1)∑i,j=1Nxixj|x|2Dij+cx|x|2·∇-b|x|2,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}
• Chemistry, Computer Science
Journal of Evolution Equations
• 2022
This work studies elliptic and parabolic problems governed by the singular elliptic operators yαDyy+cyDy-V(y),α∈R with V as potential having nonnegative real part.
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