P-harmonic energy of deformations between punctured balls

Tadeusz Iwaniec; Jani Onninen

doi:10.1515/ACV.2009.005

P-harmonic energy of deformations between punctured balls

Tadeusz Iwaniec, Jani Onninen

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	93-107
Number of pages	15
Journal	Advances in Calculus of Variations
Volume	2
Issue number	1
DOIs	https://doi.org/10.1515/ACV.2009.005
State	Published - Feb 1 2009

Keywords

Extremal problems
P-harmonics
Variational integrals

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "P-harmonic energy of deformations between punctured balls",

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.",

keywords = "Extremal problems, P-harmonics, Variational integrals",

author = "Tadeusz Iwaniec and Jani Onninen",

year = "2009",

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AB - 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.

KW - Extremal problems

KW - P-harmonics

KW - Variational integrals

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