Jana Björn (Linköping University)
Boundary regularity for p-harmonic functions on metric
spaces
Abstract.
In the talk, a short introduction into the theory of
$p$-harmonic
functions
and associated obstacle problems on metric measure spaces
will be
given,
followed by a presentation of various results concerning
the
characterization
of regular boundary points.
In particular, the Wiener criterion and Lebesgues's
characterization of
regular boundary points using bariers will be discussed.
Some examples will also be provided.
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