Institute for applied mathematics

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


  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) 


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)

Einen der BMG-Bachelor-Preise 2018 für die beste Bachelor-Arbeit hat Herr Adrian Riekert für seine Arbeit "Statistical Mechanics of a Two-Dimensional Inviscid Fluid" bei Prof. Dr. M. Gubinelli erhalten. (23.01.2019)

Frau Dr. Antje Kiesel hat mit zwei weiteren Partnern einen Lehr-Sonderpreis der Fakultät 2018 für das e-learning Projekt "Fit4Math" erhalten.

The Department of Mathematics and the Hausdorff Center for Mathematics of the University of Bonn mourn over Prof. Dr. Kazumasa Kuwada. (more)

The Universidad Politécnica de Madrid (UPM) has awarded Professor Michael Ortiz a Doctorate Honoris Causa (honorary doctorate). (10.12.2018)

Prof. Stefan Müller has been elected as Fellow of the European Academy of Sciences (15.10.2018).

Prof. Sergio Albeverio was awarded on 28/09/2018 the title Doctor Honoris Causa
at the Dept. of Mathematics, Stockholm University. (08.10.2018)


Managing Director: Prof. Dr. Massimiliano Gubinelli
Chief Administrator: Dr. B. Doerffel
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Mailing address

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