4 citations · 5 across the 13 of their papers we have counts for
5 papers · 1 filter
Representation of the total variation as a -limit of -type seminorms
Adolfo Arroyo-Rabasa, Paolo Bonicatto, Giacomo Del Nin
We address a question raised by Ambrosio, Bourgain, Brezis, and Figalli, proving that the -limit, with respect to the topology, of a family of -type seminor…
New projection and Korn estimates for a class of constant-rank operators on domains
Adolfo Arroyo-Rabasa
Let and let be an open and bounded set of . We establish classical Korn inequalities \[ \inf_{\substack{v \in L^p(Ω)\\\mathcal A v = 0}} \|u - v\|…
An elementary approach to the homological properties of constant-rank operators
Adolfo Arroyo-Rabasa, José Simental
We give a simple and constructive extension of Raiţă's result that every constant-rank operator possesses an exact potential and an exact annihilator. Our construction is completel…
A Bourgain-Brezis-Mironescu representation for functions with bounded deformation
Adolfo Arroyo-Rabasa, Paolo Bonicatto
We establish a non-local integral difference quotient representation for symmetric gradient semi-norms in and , which does not require the manipulation of distributi…
Higher integrability for measures satisfying a PDE constraint
Adolfo Arroyo-Rabasa, Guido De Philippis, Jonas Hirsch +2
We establish higher integrability estimates for constant-coefficient systems of linear PDEs \[ \mathcal{A} μ= σ, \] where and are ve…