43 citations · 420 across the 43 of their papers we have counts for
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Classification of metric measure spaces and their ends using -harmonic functions
Anders Bjorn, Jana Bjorn, Nageswari Shanmugalingam
By seeing whether a Liouville type theorem holds for positive, bounded, and/or finite energy -harmonic and -quasiharmonic functions, we classify proper metric spaces equipped…
The Dirichlet problem for p-minimizers on finely open sets in metric spaces
Anders Björn, Jana Björn, Visa Latvala
We initiate the study of fine -(super)minimizers, associated with -harmonic functions, on finely open sets in metric spaces, where . After having developed th…
Removable sets for Newtonian Sobolev spaces and a characterization of -path almost open sets
Anders Björn, Jana Björn, Panu Lahti
We study removable sets for Newtonian Sobolev functions in metric measure spaces satisfying the usual (local) assumptions of a doubling measure and a Poincaré inequality. In partic…
Removable singularities for bounded -(super)harmonic and quasi(super)harmonic functions on weighted
Anders Björn
It is well known that sets of -capacity zero are removable for bounded -harmonic functions, but on metric spaces there are examples of removable sets of positive capacity. In…
Volume growth, capacity estimates, -parabolicity and sharp integrability properties of -harmonic Green functions
Anders Björn, Jana Björn, Juha Lehrbäck
In a complete metric space equipped with a doubling measure supporting a -Poincaré inequality, we prove sharp growth and integrability results for -harmonic Green functions a…