A note on the integral representation of functionals in the space SBD(O)

2001/04/27 by Francois Ebobisse, François Ebobisse, Ebobisse, Francois +2
Mathematics · #35J50 #49J45 #49Q20 #74C15 #74G65 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory in Mathematical Physics #math.FA #msc:35J50 #msc:49J45 #msc:49Q20 #msc:74C15 #msc:74G65

paper · pdf · doi:10.48550/arxiv.math/0104264

8 pages

arxiv created 2001/04/27 · openalex publication_date 2001/04/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the integral representation in the space SBD(O) of special functions with bounded deformation of some L¹-norm lower semicontinuous functionals invariant with respect to rigid motions.

Related

• A lower semicontinuity result for some integral functionals in the space SBD
• On the integral representation of variational functionals on BD
• Some sufficient conditions for lower semicontinuity in SBD and applications to minimum problems of Fracture Mechanics
• On the relaxation of integral functionals depending on the symmetrized\n gradient
• Integral representation for energies in linear elasticity with surface\n discontinuities