Publications

A remark on the Korn–Poincaré–Sobolev inequality for functions of generalised bounded deformation

G. Dal Maso, D. Donati

Submitted, 2026.

Structured deformations for energies with general surface terms

D. Donati, M. Friedrich

Preprint, 2026.

arXiv:2606.10556

Γ-convergence of convolution-type functionals for free discontinuity problems

G. C. Brusca, D. Donati, S. Scalabrino, C. Trifone, E. Voglino

Preprint, 2026.

arXiv:2603.24192

Γ-convergence and homogenisation for free discontinuity functionals with linear growth in the space of functions with bounded deformation

G. Dal Maso, D. Donati

Preprint, 2026.

arXiv:2601.19591

A matrix-valued measure associated to the derivatives of a function of generalised bounded deformation

G. Dal Maso, D. Donati

Preprint, 2025.

arXiv:2506.19978

Singular perturbations models in phase transitions for anisotropic higher-order materials

G. C. Brusca, D. Donati, C. Trifone

Calc. Var. Partial Differential Equations 64 (2025), Paper No. 243.

Published version arXiv:2503.13035

Homogenization of vectorial free-discontinuity functionals with cohesive type surface terms

G. Dal Maso, D. Donati

Proc. Roy. Soc. Edinburgh Sect. A, published online 2025.

Published version arXiv:2409.07820

Higher-order singular perturbation models for phase transitions

G. C. Brusca, D. Donati, M. Solci

SIAM J. Math. Anal. 57(3) (2025), 3146–3170.

Published version arXiv:2402.13626

A new space of generalised vector-valued functions of bounded variation

D. Donati

NoDEA Nonlinear Differential Equations Appl. 32 (2025), Paper No. 59.

Published version arXiv:2310.11538

Another look at elliptic homogenization

A. Braides, G. C. Brusca, D. Donati

Milan J. Math. 92 (2024), Paper No. 1.

Published version arXiv:2306.12325

Γ-convergence of quadratic functionals perturbed by bounded linear functionals

G. Dal Maso, D. Donati

Nonlinear Anal. 238 (2024), Paper No. 113395.

Published version arXiv:2212.12456