Stability and local minimality of spherical harmonic twists \(u={\mathbf{Q}}(|x|) x|x|^{-1} \), positivity of second variations and conjugate points on \(\mathbf{SO}(n)\)
type: Item
instance of: scholarly article
title: Stability and local minimality of spherical harmonic twists \(u={\mathbf{Q}}(|x|) x|x|^{-1} \), positivity of second variations and conjugate points on \(\mathbf{SO}(n)\)
zbMATH Open document ID: 1444.35050
author: Stuart Day
author: Ali Taheri
published in: The Journal of Analysis
publication date: 2020-07-14T00:00:00Z
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35J50
Mathematics Subject Classification ID: 53C43
Mathematics Subject Classification ID: 49K30
Mathematics Subject Classification ID: 22C05
Mathematics Subject Classification ID: 53Z05
zbMATH DE Number: 7220227
zbMATH Keywords: harmonic maps
zbMATH Keywords: strong local minimisers
zbMATH Keywords: positive second variations
zbMATH Keywords: conjugate points
zbMATH Keywords: compact Lie groups
zbMATH Keywords: Weierstrass excess function
MaRDI profile type: Publication
full work available at URL: s41478-019-00180-6
OpenAlex ID: W3024418834
cites work: Q4349681
cites work: Stability and uniqueness properties of the equator map from a ball into an ellipsoid
cites work: Function spaces for liquid crystals
cites work: Lifting in Sobolev spaces
cites work: The minimality of the map \(\frac{x}{\| x \|}\) for weighted energy
cites work: Degree and Sobolev spaces
cites work: On global and local minimizers of prestrained thin elastic rods
cites work: Q4743352
cites work: Q5473394
cites work: Geodesics on \(\mathrm{SO}(n)\) and a class of spherically symmetric maps as solutions to a nonlinear generalised harmonic map problem
cites work: A class of extremising sphere-valued maps with inherent maximal tori symmetries in \(\mathbf{SO}(n)\)
cites work: A Report on Harmonic Maps
cites work: Another Report on Harmonic Maps
cites work: Q4210546
cites work: Q4000284
cites work: Topology of Sobolev mappings
cites work: Lie groups beyond an introduction
cites work: Q3797914
cites work: La formule de la variation seconde de l'energie au voisinage d'une application harmonique
cites work: An infinite scale of incompressible twisting solutions to the nonlinear elliptic system \(\mathcal{L} [u; \mathsf{A}, \mathsf{B}] = \nabla \mathcal{P}\) and the discriminant \(\varDelta(h, g)\)
cites work: Second order differentiability of integral functionals on Sobolev spaces and L2-spaces.
cites work: Compact Lie Groups
cites work: The Second Variation Formula for Harmonic Mappings
cites work: Sufficiency theorems for local minimizers of the multiple integrals of the calculus of variations
cites work: Strong versus weak local minimizers for the perturbed Dirichlet functional
cites work: Local minimizers and quasiconvexity -- the impact of topology
cites work: Homotopy classes of self-maps of annuli, generalised twists and spin degree
cites work: Spherical twists, stationary paths and harmonic maps from generalised annuli into spheres
cites work: Function Spaces and Partial Differential Equations
cites work: Q4315112
cites work: Homotopy classes in Sobolev spaces and the existence of energy minimizing maps
DOI: 10.1007/S41478-019-00180-6
description: scientific article; zbMATH DE number 7220227