Adolfo Arroyo Rabasa

I am currently a Ph.D. student under the advise of Prof. Stefan Müller. 

Areas of specialization

  • Calculus of Variations
  • Geometric Measure Theory
  • Minimal Surfaces
  • Homogenization Theory and Composite Materials

Research interests

  • Calculus of variations and optimization
  • Homogenization theory and the theory of composites
  • Regularity theory for variational problems
  • Geometric measure theory and minimal surfaces
  • Lower semi-continuity of integral functionals

Publications

  1. Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints 
    (with G. De Philippis and F. Rindler)
    submitted   arXiv       PDF

  2. Relaxation and optimization for linear-growth convex integral functionals under PDE constraints
    J. Funct. Anal.   online version

  3. Regularity for free interface variational problems in a general class of gradients 
    Calc. Var. Partial Differential Equations, 55(6), 154-197, 2016   online version

Here you can find more information about me.

Current projects

  • Multi-scale generalized Young measures, Part I (with J. Diermeier)
  • Multi-scale generalized Young measures, Part II: applications to homogenization of PDE constrained problems (with J. Diermeier)
  • Analysis of the fine properties of $\mathcal A$-free measures (with G. De Philippis and F. Rindler)
  • A note on lower recession functions of rank one convex functions
  • Lower semicontinuity of linear growth functionals with PDE constraints of variable coefficients (with E. Diavoli and M. Morandotti) 

News

Prof. Dr. Andreas Eberle erhält den diesjährigen Lehrpreis der Universität Bonn. (22.07.2020)

Herr Dr. Richard Höfer erhielt den Hausdorff-Gedächtnispreis 2019 der Fachgruppe Mathematik für die beste Disseration. Betreut wurde die Arbeit von Prof. J. Velázquez (29.01.2020).

Einer der Preise der Bonner Mathematischen Gesellschaft (BMG) für die besten Bachelorarbeiten 2019 ging an Herrn Peter Holderrieth unter der Betreuung von Prof. A. Eberle (29.01.2020).

Frau Dr. Beate Doerffel hat einen Lehrpreis der Mathematisch-Naturwissenschaftlichen Fakultät 2019 erhalten (05.12.2019).

Den Hausdorff Memorial Prize für die beste PhD-Arbeit 2018 der Fachgruppe Mathematik erhielt Frau Eva Kopfer aus der Stochastischen Analysis (Prof. Dr. T. Sturm). (26.01.2019)

Contact

Managing Director: Prof. Dr. Massimiliano Gubinelli
Chief Administrator: Dr. B. Doerffel
geschaeftsfuehrung@iam.uni-bonn.de
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Mailing address

Institute for Applied Mathematics
University of Bonn
Endenicher Allee 60
D-53115 Bonn / Germany