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Anders Björn

Professor

Research

I work in the area Analysis on metric spaces and study, in particular, p-harmonic functions, quasiminimizers and Newtonian Sobolev spaces on metric spaces, including Rn. I belong to the group in Nonlinear Potential Theory.
Here you can find a list of my publications (along with the publications of the others in our group).
Here is a popular scientific description of our research in English and Swedish.

I am one of the organizers of the Mathematical Colloquium.
I am the local representative (lokalombud) for Linköping of Svenska Matematikersamfundet (the Swedish mathematical society).
I was a technical editor for Acta Mathematica 2004–2015 and Arkiv för matematik 1993–2015 both published by Institut Mittag-Leffler.

Research projects

Projects

Group picture of Nageswari Shanmugalingam, Anders Björn, Jana Björn and Tomas Sjödin.

Nonlinear Potential Theory

The research group is mainly interested in analysis on metric spaces, and in particular nonlinear potential theory associated with p-harmonic functions and quasiminimizers in Euclidean and metric spaces.
Reflection in the water.

Differential Equations and Analysis on Metric Spaces

Differential equations describe many real-world phenomena but can rarely be solved exactly. We therefore study properties of their solutions in other ways, in very general situations, similarly to creating an identikit of an unknown criminal.

Education

Education

Undergraduate courses

I'm giving the course TATA34 Real Analysis, Honours Course.

Graduate courses

During the spring 2018 I gave the graduate course in MAI0065 Functional Analysis.
It was also given in the spring 2016.

Earlier I have taught the following graduate courses:
MAI0002 Potentialteori (autumn, 2005, with Jana Björn).
Spektralteori (spring, 2004).

Organisation

Blue pen lying on a paper with mathematical text.

Analysis and Mathematics Education (ANDI)

The Division of Analysis and Mathematics Education conducts both interdisciplinary and applied research in various branches of analysis and didactics of mathematics.
Fractal Plant

Department of Mathematics (MAI)

The department conducts research in computational mathematics, mathematics and applied mathematics, mathematical statistics, and optimization. We provide courses to students in most degree programmes in mathematics, science and engineering.
Studenthuset on Campus Valla in Linköping

About LiU

Linköping University, LiU, offers innovative education and boundary-crossing research. The students are among the most desirable in the labour market and international rankings consistently place LiU as a leading global university.

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