Optimal Hardy-weights for elliptic operators with mixed boundary conditions

Yehuda Pinchover, Idan Versano*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We construct families of optimal Hardy-weights for a subcritical linear second-order elliptic operator (Figure presented.) with degenerate mixed boundary conditions. By an optimal Hardy-weight for a subcritical operator we mean a nonzero nonnegative weight function W such that (Figure presented.) is critical, and null-critical with respect to W. Our results rely on a recently developed criticality theory for positive solutions of the corresponding mixed boundary value problem.

Original languageEnglish
Pages (from-to)1221-1241
Number of pages21
Issue number4
StatePublished - Oct 2023
Externally publishedYes


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