On the integral representation of variational functionals on BD

2019/07/26 by Caroccia, Marco, Focardi, Matteo, Van Goethem, Nicolas · 2 citations
#46E30 #49J45 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1907.11478

Abstract

Following the global method for relaxation we prove an integral representation result for a large class of variational functionals naturally defined on the space of functions with Bounded Deformation. Mild additional continuity assumptions are required on the functionals.

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• Relaxation of variational problems in the space of functions with bounded B-variation: interaction with measures and lack of concentration phenomena
• Rigidity and functional properties of BD_dev(Ω)

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