3 papers
math.AP2026
Structured deformations for energies with general surface terms
Davide Donati, Manuel Friedrich
We develop a variational theory of structured deformations for energies whose surface densities satisfy general growth conditions. This requires a formulation in the generalised sp…
math.AP2026
-convergence and homogenisation for free discontinuity functionals with linear growth in the space of functions with bounded deformation
Gianni Dal Maso, Davide Donati
We study the -convergence of sequences of free discontinuity functionals with linear growth defined in the space of functions with bounded deformation. We prove a co…
math.FA2025
A matrix-valued measure associated to the derivatives of a function of generalised bounded deformation
Gianni Dal Maso, Davide Donati
We associate to every function a measure with values in the space of symmetric matrices, which generalises the distributional symmetric gradient defined…