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20102026
most citedLower semicontinuity for integral functionals in the space of functions of bounded deformation via rigidity and Young measures

39 citations · 76 across the 27 of their papers we have counts for

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math.AP2010

Lower semicontinuity and Young measures in BV without Alberti's Rank-One Theorem

Filip Rindler

We give a new proof of sequential weak* lower semicontinuity in $\BV(Ω;\R^m)$ for integral functionals with a quasiconvex Carathéodory integrand with linear growth at infinity and…

math.AP2010★ 39 cited

Lower semicontinuity for integral functionals in the space of functions of bounded deformation via rigidity and Young measures

Filip Rindler

We establish a general weak* lower semicontinuity result in the space $\BD(Ω)$ of functions of bounded deformation for functionals of the form $$\Fcal(u) := \int_Ωf \bigl(x, \Ecal…