A class of extremising sphere-valued maps with inherent maximal tori symmetries in SO ( n ) $\mathbf{SO}(n)$

A class of extremising sphere-valued maps with inherent maximal tori symmetries in SO ( n ) $\mathbf{SO}(n)$

Abstract In this paper we consider an energy functional depending on the norm of the gradient and seek to extremise it over an admissible class of Sobolev maps defined on an annulus and taking values on the unit sphere whilst satisfying suitable boundary conditions. We establish the existence of an...

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Bibliographic Details
Main Authors: Stuart Day, Ali Taheri
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:Boundary Value Problems
Subjects:
spherical whirls
symmetries
generalised sphere-valued harmonic maps
SO ( n ) $\mathbf{SO}(n)$
maximal tori and conjugacy
second energy variations
Online Access:http://link.springer.com/article/10.1186/s13661-017-0917-3

Internet

http://link.springer.com/article/10.1186/s13661-017-0917-3

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