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POWER-TYPE QUASIMINIMIZERS
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-9677-8321
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-1238-6751
2011 (English)In: ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, ISSN 1239-629X, Vol. 36, no 1, 301-319 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we examine the quasiminimizing properties of radial power-type functions u(x) = vertical bar x vertical bar(alpha) in R-n. We find the optimal quasiminimizing constant whenever u is a quasiminfinizer of the p-Dirichlet integral, p not equal n, and similar results when u is a quasisub- and quasisuperminimizer. We also obtain similar results for log-powers when p = n.

Place, publisher, year, edition, pages
Academia Scientiarum Fennica , 2011. Vol. 36, no 1, 301-319 p.
Keyword [en]
Doubling measure, nonlinear, p-harmonic, Poincare inequality, potential theory, quasiminimizer, quasisubharmonic, quasisubininimizer, quasisuperharmonic, quasisuperminimizer
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-66898DOI: 10.5186/aasfm.2011.3619ISI: 000287892500019OAI: oai:DiVA.org:liu-66898DiVA: diva2:405243
Available from: 2011-03-21 Created: 2011-03-21 Last updated: 2016-05-04

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Björn, AndersBjörn, Jana
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