2 papers
math.AP2020
Lower semicontinuity for functionals defined on piecewise rigid functions and on
Manuel Friedrich, Matteo Perugini, Francesco Solombrino
In this work, we provide a characterization result for lower semicontinuity of surface energies defined on piecewise rigid functions, i.e., functions which are piecewise affine on…
math.AP2019
Rigidity for perimeter inequality under spherical symmetrisation
Filippo Cagnetti, Matteo Perugini, Dominik Stöger
Necessary and sufficient conditions for rigidity of the perimeter inequality under spherical symmetrisation are given. That is, a characterisation for the uniqueness (up to orthogo…