Published Paper

Inserted: 24 apr 2026
Last Updated: 24 apr 2026

Journal: Calculus of Variations and Partial Differential Equations
Volume: 65
Number: 2
Pages: Paper No. 62, 40
Year: 2026
Doi: 10.1007/s00526-025-03221-0

Abstract:

We establish fractional Hardy inequality on bounded domains in $\mathbb{R}^{d}$ with inverse of distance function from smooth boundary of codimension $k$, where $k=2, \dots,d$, as weight function. The case $sp=k$ is the critical case, where optimal logarithmic corrections are required. All the other cases of $sp<k$ and $sp>k$ are also addressed.