3 papers
math.AP2024
Partial balayage for the Helmholtz equation
Stephen J. Gardiner, Tomas Sjödin
Kow, Larson, Salo and Shahgholian recently initiated the study of quadrature domains for the Helmholtz equation and developed an associated theory of partial balayage of measures.…
math.CA2017
Analytic content and the isoperimetric inequality in higher dimensions
Stephen J. Gardiner, Marius Ghergu, Tomas Sjödin
This paper establishes a conjecture of Gustafsson and Khavinson, which relates the analytic content of a smoothly bounded domain in to the classical isoperimetric…
math.AP2016
The Dirichlet problem for p-harmonic functions with respect to arbitrary compactifications
Anders Björn, Jana Björn, Tomas Sjödin
We study the Dirichlet problem for p-harmonic functions on metric spaces with respect to arbitrary compactifications. A particular focus is on the Perron method, and as a new appro…