Fractional Korn's inequality on subsets of the Euclidean space

Abstract

We give a new, simpler proof of the fractional Korn's inequality for subsets of ${\mathbb{R}}^d$. We also show a framework for obtaining Korn's inequality directly from the appropriate Hardy-type inequality.

arXiv comment7 pages, 1 figure

References in corpus (1)

• A Fractional Korn-type inequality for smooth domains and a regularity estimate for nonlinear nonlocal systems of equations

Cited by in corpus (1)

• Fractional Korn's inequalities without boundary conditions