4 citations · 4 across the 3 of their papers we have counts for
6 papers
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…
Slicing and fine properties for functions with bounded -variation
Adolfo Arroyo-Rabasa
We study the slicing and fine properties of functions in , the space of functions with bounded -variation. Here, is a homogeneous…
Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge
Adolfo Arroyo-Rabasa, Raphael Winter
We prove that the Debye screening length emerges in a spatially homogeneous plasma described by the nonlinear Vlasov-Poisson equation interacting with a point charge. While screene…
Generalized multi-scale Young measures
Adolfo Arroyo-Rabasa, Johannes Diermeier
This paper is devoted to the construction of generalized multi-scale Young measures, which are the extension of Pedregal's multi-scale Young measures [Trans. Amer. Math. Soc. 358 (…
An elementary approach to the dimension of measures satisfying a first-order linear PDE constraint
Adolfo Arroyo-Rabasa
We give a simple criterion on the set of probability tangent measures of a positive Radon measure , which yields lower bounds on the Hausdorff dimension of $…
Dimensional estimates and rectifiability for measures satisfying linear PDE constraints
Adolfo Arroyo-Rabasa, Guido De Philippis, Jonas Hirsch +1
We establish the rectifiability of measures satisfying a linear PDE constraint. The obtained rectifiability dimensions are optimal for many usual PDE operators, including all first…