## V5B5 - Advanced Topics in Analysis and Calculus of Variations: Regularity for Elliptic Variational Problems

**Instructor:**
Dr. Franz Gmeineder

** Timetable:**

** Exam (oral):**

** Course Synopsis:**

**Prerequisites:**

- Analysis 1–3 and Functional Analysis. An introductory course on partial differential equations is helpful, but not mandatory. Students that took the course 'Nonlinear PDE 1' from winter term 2018/19 will discover some overlaps, but this course is essentially self-contained.

**Specific course material:**

- Lecture Notes (Updated Thu, May 9)
- L. Ambrosio, N. Fusco, D. Pallara: Functions of bounded variation and free discontinuity problems. Oxford University Press, 2000.
- L. Beck: Elliptic Regularity Theory - A first course. Lecture Notes of the Italian Mathematical Union, Springer, 2016.
- E. Giusti: Direct Methods in the Calculus of Variations. World Scientific, 2003.
- G. Mingione: Regularity of minima: an invitation to the dark side of the calculus of variations. Appl. Math. 51 (2006), no. 4, 355–426.
- A more extensive list of relevant background material is available here.
- Lecture notes will be available and shall be updated weekly.

**Background Reading:**

## News

Prof. Valentin Blomer und Prof. Georg Oberdieck erhalten ERC grants

Prof. Peter Scholze erhält Lehrpreis der Universität

Ausschreibung: W3-Professur Reine Mathematik

Bonn Mathematics ranked 15th in Shanghai Ranking

Prof. Carl-Friedrich Bödigheimer hat Daidalos-Münze der Studienstiftung erhalten

Grants for Mathematics students from Ukraine

Corona: Measures at the Center for Mathematics

Prof. Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society

Georg Oberdieck receives Dubrovin Medal 2022

Prof. Peter Scholze elected as Foreign Member of the Royal Society

Prof. Dr. Jessica Fintzen new at the Mathematical Institute

Otto Toeplitz memorial fund established

Hausdorff Memorial Prize 2020/2021 awarded

Bachelorpreis 2020/21 der BMG verliehen

Prof. Christoph Thiele is holding the Clay Lecture 2022

Hausdorff Edition „Felix Hausdorff - Gesammelte Werke“

Prof. Catharina Stroppel invited as *plenary speaker* to the ICM 2022 in St. Petersburg

Bonner Mathematik belegt bei Shanghai Ranking den 1. Platz in Deutschland und weltweit den 13. Platz

Prof. Georg Oberdieck erhält Heinz Maier-Leibnitz-Preise 2020

Prof. Daniel Huybrechts erhält gemeinsam mit Debarre, Macri und Voisin ERC Synergy Grant