Prime ends for domains in metric spaces

By Tomasz Adamowicz, Anders Bjorn, Jana Björn, Nageswari Shanmugalingam. 2012

48 citations recorded by the source corpus.

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 Caratheodory and Nakki. Modulus ends and ...

Subfields: Applied Mathematics, Computational Mechanics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/10029180c762ddc382dd37d16182767802774d79

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Anders Bjorn
2. Jana Björn
3. R. Korte

In Computational Mechanics

1. Jana Björn
2. Anders Bjorn

In Geometry and Topology

1. Jana Björn
2. Anders Bjorn

Citations in the corpus

• Obstacle and Dirichlet problems on arbitrary nonopen sets in metric spaces, and fine topology (2012, background): “On metric spaces, such capacities have been used and studied under various assumptions by e.g. Heinonen–Koskela [22], Kallunki–Shanmugalingam [23] and Adamowicz–Björn–Björn–Shanmugalingam [1].”