Anders Björn

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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.AP2019

Boundary regularity for $p$ -harmonic functions and solutions of obstacle problems on unbounded sets in metric spaces

Anders Björn, Daniel Hansevi

The theory of boundary regularity for $p$ -harmonic functions is extended to unbounded open sets in complete metric spaces with a doubling measure supporting a $p$ -Poincaré inequali…

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

Boundary regularity for p-harmonic functions and solutions of obstacle problems on unbounded sets in metric spaces

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

Boundary regularity for $p$ -harmonic functions and solutions of obstacle problems on unbounded sets in metric spaces