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math.AP2021
Concentration effects of BV gradients have gradient structure
Jan Kristensen, Bogdan Raiţă
We prove that the concentration effects arising from weakly-* convergent sequences of gradients of maps of bounded variation have gradient structure. This is in stark contrast with…
math.AP2021
Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands
André Guerra, Jan Kristensen
We consider the class of non-negative rank-one convex isotropic integrands on which are also positively -homogeneous. If we prove, condit…