Lower bound for energies of harmonic tangent unit-vector fields on convex polyhedra

A Majumdar, JM Robbins, M Zyskin

Research output: Contribution to journalArticle (Academic Journal)peer-review

5 Citations (Scopus)

Abstract

We derive a lower bound for energies of harmonic maps of convex polyhedra in R-3 to the unit sphere S-2, with tangent boundary conditions on the faces. We also establish that C-infinity maps satisfying tangent boundary conditions are dense with respect to the Sobolev norm in the space of continuous tangent maps of finite energy.
Translated title of the contributionLower bound for energies of harmonic tangent unit-vector fields on convex polyhedra
Original languageEnglish
Pages (from-to)169 - 183
Number of pages15
JournalLetters in Mathematical Physics
Volume70 (2)
DOIs
Publication statusPublished - Nov 2004

Bibliographical note

Publisher: Springer
Other identifier: IDS Number: 886DM

Fingerprint Dive into the research topics of 'Lower bound for energies of harmonic tangent unit-vector fields on convex polyhedra'. Together they form a unique fingerprint.

Cite this