2 citations · 2 across the 4 of their papers we have counts for
4 papers
Relaxation for partially coercive integral functionals with linear growth
Filip Rindler, Giles Shaw
We prove an integral representation theorem for the -relaxation of the functional \[ \mathcal{F}\colon u\mapsto\int_Ωf(x,u(x),\nabla u(x))\;\mathrm{dd…
Counterexamples in Calculus of Variations in through the vectorial Eikonal equation
Nikos Katzourakis, Giles Shaw
We show that for any regular bounded domain , , there exist infinitely many global diffeomorphisms equal to the identity on which solve…
Liftings, Young measures, and lower semicontinuity
Giles Shaw, Filip Rindler
This work introduces liftings and their associated Young measures as new tools to study the asymptotic behaviour of sequences of pairs for $(u_j)_j \in \mathrm{BV}(Ω;…
Strictly continuous extension of functionals with linear growth to the space BV
Filip Rindler, Giles Shaw
The main result of this paper is a proof of the continuity of a family of integral functionals defined on the space of functions of bounded variation with respect to a topology und…