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A class of extremising sphere-valued maps with inherent maximal tori symmetries in SO(n)

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posted on 2023-06-09, 12:03 authored by Stuart Day, Ali TaheriAli Taheri
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 infinite family of solutions with certain symmetries to the associated nonlinear Euler-Lagrange system in even dimensions and discuss the stability of such extremisers by way of examining the positivity of the second variation of the energy at these solutions.

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Publication status

  • Published

File Version

  • Published version

Journal

Boundary Value Problems

ISSN

1687-2770

Publisher

Springer Verlag

Issue

187

Volume

2017

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2018-02-12

First Open Access (FOA) Date

2018-02-12

First Compliant Deposit (FCD) Date

2018-02-12

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