3 papers
math.FA2026
On the divergence of the composition of irregular fields with BV functions
Graziano Crasta, Virginia De Cicco, Annalisa Malusa
We introduce a family of (nonlinear) pairing measures that ensure the validity of the divergence rule for composite functions , where $\boldsymbol{B}(\cdot,…
math.AP2026
Power-logconcavity of the Laplacian ground state
Graziano Crasta, Ilaria FragalÃ
Let be the first Dirichlet Laplacian eigenfunction of a bounded convex set in . We strengthen the classical result by Brascamp-Lieb which asserts that is…
math.AP2025
On a Differential Model for Sandpiles Growing in a Silo
Graziano Crasta, Annalisa Malusa
We discuss some features of a boundary value problem for a system of PDEs that describes the growth of a sandpile in a container under the action of a vertical source. In particula…