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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…