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Phragmén-Lindelöf theorems and p-harmonic measures for sets near low-dimensional hyperplanes
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2016 (English)In: Potential Analysis, ISSN 0926-2601, E-ISSN 1572-929X, Vol. 44, no 2, 313-330 p.Article in journal (Refereed) Published
Abstract [en]

We prove estimates of a p-harmonic measure, p∈(nm,], for sets in R n which are close to an m-dimensional hyperplane Λ⊂R n , m∈[0,n−1]. Using these estimates, we derive results of Phragmén-Lindelöf type in unbounded domains Ω⊂R n ∖Λ for p-subharmonic functions. Moreover, we give local and global growth estimates for p-harmonic functions, vanishing on sets in R n , which are close to an m-dimensional hyperplane.

Place, publisher, year, edition, pages
Springer Netherlands, 2016. Vol. 44, no 2, 313-330 p.
Keyword [en]
Global estimates, Growth of p-harmonic functions, Infinity Laplace, Phragmén-Lindelöf, Subharmonic, Quasi-linear
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:umu:diva-110729DOI: 10.1007/s11118-015-9513-2ISI: 000370368800006OAI: oai:DiVA.org:umu-110729DiVA: diva2:865121
Available from: 2015-10-26 Created: 2015-10-26 Last updated: 2016-03-17Bibliographically approved

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Lundström, Niklas L P
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