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Pasting lemmas and characterizations of boundary regularity for quasiminimizers
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.ORCID iD: 0000-0002-9677-8321
Department of Mathematics and Statistics University of Helsinki.
2008 (English)Report (Other academic)
Abstract [en]

Quasiharmonic functions correspond to p-harmonic functions when minimizers of the p-Dirichlet integral are replaced by quasiminimizers. In this paper, boundary regularity for quasiharmonic functions is characterized in several ways; in particular it is shown that regularity is a local property of the boundary. For these characterizations we employ a version of the so called pasting lemma; this is a useful tool in the theory of superharmonic functions and our version extends the classical pasting lemma to quasiharmonic functions and quasiminimizers. The results are obtained for metric measure spaces, but they are new also in the Euclidean spaces.

Place, publisher, year, edition, pages
Helsingfors: Department of Mathematics and Statistics, University of Helsinki , 2008.
, Reports in Mathematics, 474
National Category
URN: urn:nbn:se:liu:diva-41810Local ID: 59134OAI: diva2:262665
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2013-12-17

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Björn, Anders
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The Institute of TechnologyApplied Mathematics

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