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Adolfo Arroyo-Rabasa
Adolfo Arroyo-Rabasa
Institute of Applied Mathematics, University of Bonn
Verified email at hcm.uni-bonn.de - Homepage
Title
Cited by
Cited by
Year
Dimensional estimates and rectifiability for measures satisfying linear PDE constraints
A Arroyo-Rabasa, G De Philippis, J Hirsch, F Rindler
Geometric and Functional Analysis 29 (3), 639-658, 2019
542019
Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints
A Arroyo-Rabasa, G De Philippis, F Rindler
Advances in calculus of variations 13 (3), 219-255, 2020
532020
Characterization of Generalized Young Measures Generated by -free Measures
A Arroyo-Rabasa
Archive for Rational Mechanics and Analysis, 1-91, 2021
19*2021
An elementary approach to the dimension of measures satisfying a first-order linear PDE constraint
A Arroyo-Rabasa
Proceedings of the American Mathematical Society 148 (1), 273-282, 2020
112020
Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge
A Arroyo-Rabasa, R Winter
Communications in Partial Differential Equations 46 (8), 1569-1584, 2021
92021
An elementary approach to the homological properties of constant-rank operators
A Arroyo-Rabasa, J Simental
Comptes Rendus. Mathématique 361 (G1), 45-63, 2023
82023
Higher integrability for measures satisfying a PDE constraint
A Arroyo-Rabasa, G De Philippis, J Hirsch, F Rindler, A Skorobogatova
arXiv preprint arXiv:2106.03077, 2021
72021
Slicing and fine properties for functions with bounded -variation
A Arroyo-Rabasa
arXiv preprint arXiv:2009.13513, 2020
72020
Relaxation and optimization for linear-growth convex integral functionals under PDE constraints
A Arroyo-Rabasa
Journal of Functional Analysis 273 (7), 2388-2427, 2017
72017
A Bourgain–Brezis–Mironescu representation for functions with bounded deformation
A Arroyo-Rabasa, P Bonicatto
Calculus of Variations and Partial Differential Equations 62 (1), 33, 2023
52023
New projection and Korn estimates for a class of constant-rank operators on domains
A Arroyo-Rabasa
arXiv preprint arXiv:2109.14602, 2021
52021
Dimensional estimates and rectifiability for measures satisfying linear PDE constraints. to appear in Geom
A Arroyo-Rabasa, G De Philippis, J Hirsch, F Rindler
Funct. Anal, 2018
42018
Functional and variational aspects of nonlocal operators associated with linear PDEs
A Arroyo-Rabasa
arXiv preprint arXiv:2210.13161, 2023
32023
Representation of the total variation as a -limit of BMO-type seminorms
A Arroyo Rabasa, G Del Nin
Indiana University Mathematics Journal, 21, 2021
32021
A look into some of the fine properties of functions with bounded -variation
A Arroyo-Rabasa, A Skorobogatova
arXiv preprint arXiv:1911.08474, 2019
3*2019
Regularity for free interface variational problems in a general class of gradients
A Arroyo-Rabasa
Calculus of Variations and Partial Differential Equations 55 (6), 154, 2016
32016
A Lebesgue–Lusin property for linear operators of first and second order
A Arroyo-Rabasa
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 1-11, 2023
22023
Local Poincaré constants and mean oscillation functionals for functions
A Arroyo-Rabasa, P Bonicatto, G Del Nin
arXiv preprint arXiv:2402.10794, 2024
2024
Generalized Multiscale Young Measures
A Arroyo-Rabasa, J Diermeier
SIAM Journal on Mathematical Analysis 52 (4), 3252-3300, 2020
2020
Lower semicontinuity, optimization and regularity of variational problems under general PDE constraints
A Arroyo-Rabasa
Universitäts-und Landesbibliothek Bonn, 2017
2017
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