Anders Björn

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20232026

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math.AP2026

Liouville theorems and removable sets for bounded $p$ -harmonic and quasiharmonic functions on metric spaces under local assumptions

Anders Björn, Jana Björn

For connected proper metric spaces $X$ , equipped with a locally doubling measure supporting a local $p$ -Poincaré inequality, we completely characterize which compact sets $K$ with…

math.AP2026

Capacities, Wiener criteria and fine continuity for nonlocal nonlinear equations

Anders Björn, Jana Björn, Minhyun Kim

In this paper we study nonlocal nonlinear equations of $s$ -fractional $p$ -Laplacian type in open subsets of $R^{n}$ . We investigate how the boundary regularity of solutions…

math.AP2023

Condenser capacities and capacitary potentials for unbounded sets, and global $p$ -harmonic Green functions on metric spaces

Anders Björn, Jana Björn

We study the condenser capacity $cap_{p} (E, Ω)$ on \emph{unbounded} open sets $Ω$ in a proper connected metric space $X$ equipped with a locally doubling measure supporting a…

Liouville theorems and removable sets for bounded p-harmonic and quasiharmonic functions on metric spaces under local assumptions

Capacities, Wiener criteria and fine continuity for nonlocal nonlinear equations

Condenser capacities and capacitary potentials for unbounded sets, and global p-harmonic Green functions on metric spaces

Liouville theorems and removable sets for bounded $p$ -harmonic and quasiharmonic functions on metric spaces under local assumptions

Condenser capacities and capacitary potentials for unbounded sets, and global $p$ -harmonic Green functions on metric spaces