37 citations · 309 across the 37 of their papers we have counts for
5 papers · 1 filter
On the supremal version of the Alt-Caffarelli minimization problem
Graziano Crasta, Ilaria Fragalà
This is a companion paper to our recent work [9], where we studied the interior Bernoulli free boundary for the infinity Laplacian. Here we consider its variational side, which cor…
On the first eigenvalue of the normalized p-Laplacian
Graziano Crasta, Ilaria Fragalà, Bernd Kawohl
We prove that, if is an open bounded domain with smooth and connected boundary, for every the first Dirichlet eigenvalue of the normalized -Laplacian i…
A new model for suspension bridges involving the convexification of the cables
Graziano Crasta, Alessio Falocchi, Filippo Gazzola
The final purpose of this paper is to show that, by inserting a convexity constraint on the cables of a suspension bridge, the torsional instability of the deck appears at lower en…
Bernoulli free boundary problem for the infinity Laplacian
Graziano Crasta, Ilaria Fragalà
We study the interior Bernoulli free boundary problem for the infinity Laplacian. Our results cover existence, uniqueness, and characterization of solutions (above a threshold repr…
An extension of the pairing theory between divergence-measure fields and BV functions
Graziano Crasta, Virginia De Cicco
In this paper we introduce a nonlinear version of the notion of Anzellotti's pairing between divergence--measure vector fields and functions of bounded variation, motivated by poss…