43 citations · 420 across the 43 of their papers we have counts for
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math.AP2012★ 14 cited
The variational capacity with respect to nonopen sets in metric spaces
Anders Björn, Jana Björn
We pursue a systematic treatment of the variational capacity on metric spaces and give full proofs of its basic properties. A novelty is that we study it with respect to nonopen se…
math.AP2012★ 30 cited
Obstacle and Dirichlet problems on arbitrary nonopen sets, and fine topology
Anders Björn, Jana Björn
We study the double obstacle problem for p-harmonic functions on arbitrary bounded nonopen sets E in quite general metric spaces. The Dirichlet and single obstacle problems are inc…
math.MG2012★ 43 cited
Prime ends for domains in metric spaces
Tomasz Adamowicz, Anders Bjorn, Jana Bjorn +1
In this paper we propose a new definition of prime ends for domains in metric spaces under rather general assumptions. We compare our prime ends to those of Carathéodory and Näkki.…