Jana Björn

collaborators

3 papers

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.FA2025

Doubling measures and Poincaré inequalities for sphericalizations of metric spaces, with applications to $p$ -harmonic functions in unbounded domains

Anders Björn, Jana Björn, Xining Li

The identification between the complex plane and the Riemann sphere preserves holomorphic and harmonic functions and is a classical tool. In this paper we consider a similar mappin…

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

Doubling measures and Poincaré inequalities for sphericalizations of metric spaces, with applications to p-harmonic functions in unbounded domains

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

Doubling measures and Poincaré inequalities for sphericalizations of metric spaces, with applications to $p$ -harmonic functions in unbounded domains