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POWER-TYPE QUASIMINIMIZERS

Authors
  • Björn, Anders
  • Björn, Jana
Publication Date
Jan 01, 2011
Identifiers
DOI: 10.5186/aasfm.2011.3619
OAI: oai:DiVA.org:liu-66898
Source
DiVA - Academic Archive On-line
Keywords
Language
English
License
Green
External links

Abstract

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.

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