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 | 63 | 2019 |
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 | 56 | 2020 |
Characterization of Generalized Young Measures Generated by -free Measures A Arroyo-Rabasa Archive for Rational Mechanics and Analysis, 1-91, 2021 | 22* | 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 | 15 | 2020 |
An elementary approach to the homological properties of constant-rank operators A Arroyo-Rabasa, J Simental Comptes Rendus. Mathématique 361 (G1), 45-63, 2023 | 10 | 2023 |
Higher integrability for measures satisfying a PDE constraint A Arroyo-Rabasa, G De Philippis, J Hirsch, F Rindler, A Skorobogatova Transactions of the American Mathematical Society 377 (09), 6195-6224, 2024 | 9 | 2024 |
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 | 9 | 2021 |
Slicing and fine properties for functions with bounded -variation A Arroyo-Rabasa arXiv preprint arXiv:2009.13513, 2020 | 8* | 2020 |
Relaxation and optimization for linear-growth convex integral functionals under PDE constraints A Arroyo-Rabasa Journal of Functional Analysis 273 (7), 2388-2427, 2017 | 8 | 2017 |
New projection and Korn estimates for a class of constant-rank operators on domains A Arroyo-Rabasa arXiv preprint arXiv:2109.14602, 2021 | 6 | 2021 |
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 | 6 | 2016 |
Functional and variational aspects of nonlocal operators associated with linear PDEs A Arroyo-Rabasa arXiv preprint arXiv:2210.13161, 2023 | 5 | 2023 |
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 | 5 | 2023 |
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 | 4 | 2018 |
Representation of the total variation as a -limit of BMO-type seminorms A Arroyo Rabasa, G Del Nin Indiana University Mathematics Journal, 21, 2021 | 3 | 2021 |
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 |
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 | 2 | 2023 |
Local Poincaré constants and mean oscillation functionals for functions A Arroyo-Rabasa, P Bonicatto, G Del Nin arXiv preprint arXiv:2402.10794, 2024 | | 2024 |
Mexican Mathematicians in the World: Trends and Recent Contributions A Arroyo-Rabasa, J Simental NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY 70 (8), 2023 | | 2023 |
Generalized Multiscale Young Measures A Arroyo-Rabasa, J Diermeier SIAM Journal on Mathematical Analysis 52 (4), 3252-3300, 2020 | | 2020 |