activity
20152024
most citedA non-parametric Plateau problem with partial free boundary

1 citations · 2 across the 7 of their papers we have counts for

collaborators

11 papers

math.AP20241 cited

The -relaxed area of the graph of the vortex map: optimal upper bound

Giovanni Bellettini, Alaa Elshorbagy, Riccardo Scala

We compute an upper bound for the value of the -relaxed area of the graph of the vortex map , , $x \neq 0…

math.AP2022

A new approach to topological singularities via a weak notion of Jacobian for functions of bounded variation

Lucia De Luca, Riccardo Scala, Nicolas Van Goethem

We introduce a weak notion of -minors of gradients of a suitable subclass of functions. In the case of maps in such a notion extends…

math.AP20221 cited

A non-parametric Plateau problem with partial free boundary

Giovanni Bellettini, Roberta Marziani, Riccardo Scala

We consider a Plateau problem in codimension in the non-parametric setting. A Dirichlet boundary datum is given only on part of the boundary of a bounded convex do…

math.AP2020

An optimization problem in thermal insulation with Robin boundary conditions

Francesco Della Pietra, Carlo Nitsch, Riccardo Scala +1

We study thermal insulating of a bounded body . Under a prescribed heat source , we consider a model of heat transfer between and the environmen…

math.AP2020

Existence, energy identity and higher time regularity of solutions to a dynamic visco-elastic cohesive interface model

Matteo Negri, Riccardo Scala

We study the dynamics of visco-elastic materials coupled by a common cohesive interface (or, equivalently, {two single domains separated by} a prescribed cohesive crack) in the ant…

math.AP2020

Nonlinear three-dimensional derivation of line tension for dislocations: quadratic growth

Adriana Garroni, Roberta Marziani, Riccardo Scala

In this paper we derive a line tension model for dislocations in 3d starting from a geometrically nonlinear elastic energy with quadratic growth. In the asymptotic analysis, as the…