Skip to Main content Skip to Navigation
Journal articles

AN EXTENSION RESULT FOR GENERALISED SPECIAL FUNCTIONS OF BOUNDED DEFORMATION

Abstract : We show an extension result for functions in GSBD^p , for every p > 1 and any dimension n ≥ 2. The proof is based on a recent result in [9], 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.
Document type :
Journal articles
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03347722
Contributor : Antonin Chambolle Connect in order to contact the contributor
Submitted on : Friday, September 17, 2021 - 2:24:00 PM
Last modification on : Tuesday, October 5, 2021 - 6:02:09 PM

File

Extension_GSBD.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03347722, version 1

Citation

Filippo Cagnetti, Antonin Chambolle, Matteo Perugini, Lucia Scardia. AN EXTENSION RESULT FOR GENERALISED SPECIAL FUNCTIONS OF BOUNDED DEFORMATION. Journal of Convex Analysis, Heldermann, 2020, 28 (2), pp.457--470. ⟨hal-03347722⟩

Share

Metrics

Record views

26

Files downloads

20