AN EXTENSION RESULT FOR GENERALISED SPECIAL FUNCTIONS OF BOUNDED DEFORMATION - Archive ouverte HAL
Article Dans Une Revue Journal of Convex Analysis Année : 2020

AN EXTENSION RESULT FOR GENERALISED SPECIAL FUNCTIONS OF BOUNDED DEFORMATION

Résumé

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.
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Dates et versions

hal-03347722 , version 1 (17-09-2021)

Identifiants

  • HAL Id : hal-03347722 , version 1

Citer

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