Tobias König Mathematisches Institut der Universität München Theresienstr. 39 D-80333 München Email: Tobias.Koenig@mathematik.uni-muenchen.de 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

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Teaching / Lehre (in German)

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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

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Publications

• (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

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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.

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