Anders Björn

activity

20122026

most citedPrime ends for domains in metric spaces

43 citations · 420 across the 43 of their papers we have counts for

collaborators

Showing 2022 · math.APShow all

2 papers · 2 filters

math.AP2022

The Perron method associated with finely $p$ -harmonic functions on finely open sets

Anders Björn, Jana Björn, Visa Latvala

Given a bounded finely open set $V$ and a function $f$ on the fine boundary of $V$ , we introduce four types of upper Perron solutions to the nonlinear Dirichlet problem for $p$ -ene…

math.AP2022★ 1 cited

Convergence and local-to-global results for $p$ -superminimizers on quasiopen sets

Anders Björn, Jana Björn, Visa Latvala

In this paper, several convergence results for fine $p$ -(super)minimizers on quasiopen sets in metric spaces are obtained. For this purpose, we deduce a Caccioppoli-type inequality…

The Perron method associated with finely p-harmonic functions on finely open sets

Convergence and local-to-global results for p-superminimizers on quasiopen sets

The Perron method associated with finely $p$ -harmonic functions on finely open sets

Convergence and local-to-global results for $p$ -superminimizers on quasiopen sets