The symmetry of minimizing harmonic maps from a two dimensional domain to the sphere

DOI10.1016/S0294-1449(16)30204-9zbMath0797.35027OpenAlexW2474511019MaRDI QIDQ1320324

Etienne Sandier

Publication date: 6 June 1994

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1993__10_5_549_0

zbMATH Keywords

harmonic mapsliquid crystals

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Invariance and symmetry properties for PDEs on manifolds (58J70) Harmonic maps, etc. (58E20) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

Quantized vortex dynamics and interaction patterns in superconductivity based on the reduced dynamical law ⋮ Harmonic maps with prescribed degrees on the boundary of an annulus and bifurcation of catenoids

Cites Work

• Large solutions for harmonic maps in two dimensions
• Bifurcation analysis of minimizing harmonic maps describing the equilibrium of nematic phases between cylinders
• Uniqueness and stability of harmonic maps and their Jacobi fields
• Improved regularity of solutions to elliptic equations involving Jacobians and applications
• Unnamed Item

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