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• W1617557585 abstract "We study removable singularities for bounded p-harmonic functions in complete doubling metric spaces supporting a Poincare inequality. We show that a relatively closed set E of an arbitrary open set Ω is removable if it has zero capacity. Moreover, the extensions are unique. We give several general results showing nonremovability and giving us characterizations of removable sets as sets of capacity zero in various situations. We also provide examples of removable sets with positive capacity. Such examples can have some unexpected behaviour: e.g., E may disconnect Ω; the extensions may not be unique; and there exists a nonremovable union of two compact disjoint removable sets. Similar results for superharmonic, quasiharmonic and quasisuperharmonic functions are also given." @default.
• W1617557585 created "2016-06-24" @default.
• W1617557585 creator A5077915813 @default.
• W1617557585 date "2004-01-01" @default.
• W1617557585 modified "2023-09-26" @default.
• W1617557585 title "Removable singularities for bounded p-harmonic and quasi (super) harmonic functions on metric spaces" @default.
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