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 2022Show all

3 papers · 1 filter

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…

math.MG2022★ 2 cited

Poincaré inequalities and $A_{p}$ weights on bow-ties

Anders Björn, Jana Björn, Andreas Christensen

A metric space $X$ is called a \emph{bow-tie} if it can be written as $X = X_{+} \cup X_{-}$ , where $X_{+} \cap X_{-} = {x_{0}}$ and $X_{\pm} \neq = {x_{0}}$ are closed subsets of $X$ . We…

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

Poincaré inequalities and Ap​ weights on bow-ties

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

Poincaré inequalities and $A_{p}$ weights on bow-ties