Published Paper

Inserted: 2 jun 2020
Last Updated: 17 jan 2021

Journal: J. Convex Anal.
Year: 2021

Abstract:

We show an extension result for functions in $GSBD^p$, for every $p>1$ and any dimension $n\geq 2$. The proof is based on a recent result in $[7]$, where it is shown that a function $u$ in $GSBD^p$ with a "small" jump set coincides with a $W^{1,p}$ function, up to a small set whose perimeter and volume are controlled by the size of the jump of $u$.

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• Extension_GSBD.pdf