Anders Björn

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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…

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

Locally p-admissible measures on R

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

Locally $p$ -admissible measures on $R$