Associate Professor, University of Pisa

Email: adolfo.rabasa AT unipi.it

Home-page: https://www.arroyorabasa.com

Available papers (13):

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

Speaker:

• 19 may 2025 - 22 may 2025: International Conference on Sobolev Inequalities and Related Topics
• 9 apr 2025 - 16 apr 2025: School on "Selected topics in Calculus of Variations and PDEs"
• 16 sep 2024 - 20 sep 2024: Workshop "Calculus of Variations: a New Generation"
• 9 sep 2024 - 13 sep 2024: Summer school in fluid dynamics and nonlinear PDEs
• 17 jun 2024 - 21 jun 2024: Geometric Measure Theory and applications 2024
• 25 mar 2024 - 28 mar 2024: M&M's - Measures and Materials Workshop
• 7 apr 2021 - 21 apr 2021: Lecture Series "Slicing and fine properties of $BV^{\mathcal A}$ functions"
• 28 oct 2019 - 31 oct 2019: Calculus of Variations and Applications in Trani