199 citations · 522 across the 42 of their papers we have counts for
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Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies
Guido De Philippis, Antonio De Rosa, Francesco Ghiraldin
We extend Allard's celebrated rectifiability theorem to the setting of varifolds with locally bounded first variation with respect to an anisotropic integrand. In particular, we id…
On a conjecture of Cheeger
Guido De Philippis, Andrea Marchese, Filip Rindler
This note details how a recent structure theorem for normal -currents proved by the first and third author allows to prove a conjecture of Cheeger concerning the structure of Li…
Regularity of Minimizers of Shape Optimization Problems involving Perimeter
Guido De Philippis, Jimmy Lamboley, Michel Pierre +1
We prove existence and regularity of optimal shapes for the problemwhere denotes the perimeter, is the vo…
Characterization of generalized Young measures generated by symmetric gradients
Guido De Philippis, Filip Rindler
This work establishes a characterization theorem for (generalized) Young measures generated by symmetric derivatives of functions of bounded deformation (BD) in the spirit of the c…