37 citations · 309 across the 37 of their papers we have counts for
39 papers
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,…
Power-logconcavity of the Laplacian ground state
Graziano Crasta, Ilaria Fragalà
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…
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…
Variational worn stones
Graziano Crasta, Ilaria Fragalà
We introduce an evolution model à la Firey for a convex stone which tumbles on a beach and undertakes an erosion process depending on some variational energy, such as torsional rig…
Representation formulas for pairings between divergence-measure fields and functions
Giovanni E. Comi, Graziano Crasta, Virginia De Cicco +1
The purpose of this paper is to find pointwise representation formulas for the density of the pairing between divergence-measure fields and BV functions, in this way continuing the…
On the variational nature of the Anzellotti pairing
Graziano Crasta, Virginia De Cicco
In this paper we prove that the Anzellotti pairing can be regarded as a relaxed functional with respect to the weak* convergence in the space BV of functions of bounded variation.…