Jana Björn

collaborators

3 papers

math.AP2019

Existence and almost uniqueness for $p$ -harmonic Green functions on bounded domains in metric spaces

Anders Björn, Jana Björn, Juha Lehrbäck

We study ( $p$ -harmonic) singular functions, defined by means of upper gradients, in bounded domains in metric measure spaces. It is shown that singular functions exist if and only…

math.MG2018

The Liouville theorem for $p$ -harmonic functions and quasiminimizers with finite energy

Anders Björn, Jana Björn, Nageswari Shanmugalingam

We show that, under certain geometric conditions, there are no nonconstant quasiminimizers with finite $p$ th power energy in a (not necessarily complete) metric measure space equip…

math.MG2018

Locally $p$ -admissible measures on $R$

Anders Bjorn, Jana Bjorn, Nageswari Shanmugalingam

In this note we show that locally $p$ -admissible measures on $R$ necessarily come from local Muckenhoupt $A_{p}$ weights. In the proof we employ the corresponding characteri…

Existence and almost uniqueness for p-harmonic Green functions on bounded domains in metric spaces

The Liouville theorem for p-harmonic functions and quasiminimizers with finite energy

Locally p-admissible measures on R

Existence and almost uniqueness for $p$ -harmonic Green functions on bounded domains in metric spaces

The Liouville theorem for $p$ -harmonic functions and quasiminimizers with finite energy

Locally $p$ -admissible measures on $R$