Department Mathematik



Tobias König

Mathematisches Institut der Universität München
Theresienstr. 39
D-80333 München


Tel:   +49 (0)89   2180 4454
Fax:  +49 (0)89   2180 4466
Office: Building B, 3rd floor, room 333

Office hours: by appointment.

Arbeitsgruppe Analysis, Mathematische Physik und Numerik

Teaching / Lehre (in German)

Research Interests

Calculus of Variations and Analysis of PDEs, in particular
  • Conformally invariant equations
  • Asymptotic analysis
  • Functional inequalities
  • Higher-order and fractional Laplacian
  • Liquid Drop Model


  • (with R. Frank, H. Kovarik) Energy asymptotics in the Brezis-Nirenberg problem. The higher-dimensional case, to appear in Mathematics in Engineering , Vol. 2, No. 1, 2020, 119-140. Article, Preprint
  • (with R. Frank, H. Kovarik) Energy asymptotics in the three-dimensional Brezis-Nirenberg problem, submitted. Preprint
  • (with R. Frank) Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., Vol. 30, No. 4, 2019, 817-846, Article, Preprint
  • (with L. Emmert, R. Frank) Liquid Drop Model for nuclear matter in the dilute limit, submitted. Preprint
  • (with R. Frank) Classification of positive singular solutions to a nonlinear biharmonic equation with critical exponent, Analysis & PDE, Vol. 12, No. 4, 2019, 1101-1113. Article, Preprint

Short Academic CV

  • since 2016: PhD student of Rupert Frank at LMU Munich
  • 2014 - 2016: Master studies in Mathematics at LMU Munich
  • 2013 - 2014: Undergraduate studies in Mathematics at ENS Paris
  • 2011 - 2013: Undergraduate studies in Mathematics and Physics at LMU Munich
Here is a more complete CV.