3 papers
math.AP2021
Optimal Hardy-weights for elliptic operators with mixed boundary conditions
Yehuda Pinchover, Idan Versano
We construct families of optimal Hardy-weights for a subcritical linear second-order elliptic operator with degenerate mixed boundary conditions. By an optimal Hardy-weight…
math.AP2020
On criticality theory for elliptic mixed boundary value problems in divergence form
Yehuda Pinchover, Idan Versano
The paper is devoted to the study of positive solutions of a second-order linear elliptic equation in divergence form in a domain that satisfy an oblique…
math.AP2019
On families of optimal Hardy-weights for linear second-order elliptic operators
Yehuda Pinchover, Idan Versano
We construct families of optimal Hardy-weights for a subcritical linear second-order elliptic operator using a one-dimensional reduction. More precisely, we first characterise all…