P-harmonic energy of deformations between punctured balls

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

The p-harmonic integrals for homeomorphisms between punctured balls are considered. Surprisingly, in spite of the rotational symmetry of the domains and the rotational invariance of the p-harmonic integral the infimum of the energy is not always attained within radially symmetric maps.

Original languageEnglish (US)
Pages (from-to)93-107
Number of pages15
JournalAdvances in Calculus of Variations
Volume2
Issue number1
DOIs
StatePublished - Feb 1 2009

Keywords

  • Extremal problems
  • P-harmonics
  • Variational integrals

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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