Pasting lemmas and characterizations of boundary regularity for quasiminimizers
2008 (English)Report (Other academic)
functions correspond to p-harmonic functions when
minimizers of the p-Dirichlet integral are replaced by
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
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
Place, publisher, year, edition, pages
Helsingfors: Department of Mathematics and Statistics, University of Helsinki , 2008.
, Reports in Mathematics, 474
IdentifiersURN: urn:nbn:se:liu:diva-41810Local ID: 59134OAI: oai:DiVA.org:liu-41810DiVA: diva2:262665