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Decay of a p-harmon...
Decay of a p-harmonic measure in the plane
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- Lundström, Niklas L.P. 1980- (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå University
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- Vasilis, Jonatan, 1981 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics
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(creator_code:org_t)
- Suomalainen Tiedeakatemia, 2013
- 2013
- Engelska.
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Ingår i: Annales Academiae Scientiarum Fennicae Mathematica. - : Suomalainen Tiedeakatemia. - 1239-629X .- 1798-2383. ; 38:1, s. 351-366
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Abstract
Ämnesord
Stäng
- We study the asymptotic behaviour of a p-harmonic measure w(p), p is an element of (1, infinity], in a domain Omega subset of R-2, subject to certain regularity constraints. Our main result is that w(p) (B (w, delta) boolean AND partial derivative Omega, w(0)) approximate to delta(q) as delta -> 0(+), where q = q(v,p) is given explicitly as a function of v and p. Here, v is related to properties of Omega near w. If p = infinity, this extends to some domains in R-n. By a result due to Hirata, our result implies that the p-Green function for p is an element of (1, 2) is not quasi-symmetric in plane C-1,C-1-domains.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- harmonic measure
- harmonic function
- p-Laplace operator
- generalized interior ball
- Mathematics
- matematik
- matematisk statistik
- Mathematical Statistics
- Harmonic measure
- harmonic function
- p-Laplace operator
- generalized interior ball
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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