Tomas Sjödin

Senior Associate Professor, Head of Division

Research

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.

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.

Publications

2026

Pu-Zhao Kow, Henrik Shahgholian, Tomas Sjödin (2026)

Multiphase quadrature domains (existence and uniqueness) Analysis and Mathematical Physics, Vol. 16, Article 88 (Article in journal)

https://dx.doi.org/10.1007/s13324-026-01232-4

2025

Mikael Axin, Tomas Sjödin, Anders Ekinge, Magdalena Smeds, Mikael Segersäll, Jesper Thorén (2025)

Rätt matematik på rätt program: en översyn av tre civilingenjörsprogram vid Linköpings universitet Utbilda för framtida utveckling, p. 241-249 (Conference paper)

Stephen J. Gardiner, Tomas Sjödin (2025)

Partial Balayage for the Helmholtz Equation Potential Analysis, Vol. 63, p. 1671-1697 (Article in journal)

https://dx.doi.org/10.1007/s11118-025-10217-0

2022

Stephen J. Gardiner, Tomas Sjödin (2022)

Boundary points of angular type form a set of zero harmonic measure Annales Fennici Mathematici, Vol. 47, p. 641-644 (Article in journal)

https://dx.doi.org/10.54330/afm.116146

Stephen J. Gardiner, Tomas Sjödin (2022)

On a conjecture of Gustafsson and Lin concerning Laplacian growth Analysis and Mathematical Physics, Vol. 12, Article 38 (Article in journal)

https://dx.doi.org/10.1007/s13324-022-00647-z

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.

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.