Ontology type: schema:ScholarlyArticle
2007-05
AUTHORSHiroaki Aikawa, Tero Kilpeläinen, Nageswari Shanmugalingam, Xiao Zhong
ABSTRACTWe establish a scale-invariant version of the boundary Harnack principle for p-harmonic functions in Euclidean C1,1-domains and obtain estimates for the decay rates of positive p-harmonic functions vanishing on a segment of the boundary in terms of the distance to the boundary. We use these estimates to study the behavior of conformal Martin kernel functions and positive p-superharmonic functions near the boundary of the domain. More... »
PAGES281-301
http://scigraph.springernature.com/pub.10.1007/s11118-006-9036-y
DOIhttp://dx.doi.org/10.1007/s11118-006-9036-y
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