A. Arroyo-Rabasa:
Regularity for free interface variational problems in a general class of gradients
Calculus of Variations and Partial Differential Equations Vol. 55, N. 6, p. 154-197, 2016
A. Arroyo-Rabasa:
Relaxation and optimization for linear-growth convex integral functionals under PDE constraints
Journal of Functional Analysis (Accepted Paper) 2016
A. Arroyo-Rabasa, G. De Philippis, F. Rindler:
Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints
Adv. Calc. Var (Accepted Paper) 2017
A. Arroyo-Rabasa, G. De Philippis, J. Hirsch, F. Rindler:
Dimensional estimates and rectifiability for measures satisfying linear PDE constraints
Geom. Funct. Anal. (Accepted Paper) 2018
A. Arroyo-Rabasa:
An elementary approach to the dimension of measures satisfying a first-order linear PDE constraint
Proceedings of the American Mathematical Society (Accepted Paper) 2018
A. Arroyo-Rabasa, J. Diermeier:
Generalized multi-scale Young measures
(preprint) 2019
A. Arroyo-Rabasa:
Characterization of generalized Young measures generated by $\mathcal
A$-free measures
(preprint) 2019
A. Arroyo-Rabasa, A. Skorobogatova:
On the fine properties of elliptic operators
(Preprint) p. 29, 2019
A. Arroyo-Rabasa:
Slicing and fine properties of functions with bounded $\mathcal A$-variation
(Preprint) p. 45, 2020
A. Arroyo-Rabasa, P. Bonicatto:
A Bourgain-Brezis-Mironescu representation for functions with bounded
deformation
(preprint) 2021
A. Arroyo-Rabasa, P. Bonicatto, G. Del Nin:
Representation of the total variation as a $$-limit of $BMO$-type seminorms
Indiana Univ. Math. J. (Accepted Paper) 2021
A. Arroyo-Rabasa, G. De Philippis, J. Hirsch, F. Rindler, A. Skorobogatova:
Higher integrability for measures satisfying a PDE constraint
(preprint) 2021
A. Arroyo-Rabasa:
A Lebesgue-Lusin property for gradients of first-order linear operators
(preprint) 2022