Stability and uniqueness properties of the equator map from a ball into an ellipsoid
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Publication:1050675
DOI10.1007/BF01236259zbMath0513.58021MaRDI QIDQ1050675
Publication date: 1984
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/173417
regular harmonic maprotationally symmetric weakly harmonic mapstrictly stable critical point of the energy functional
Related Items (13)
On equivariant \(p\)-harmonic maps ⋮ A class of extremising sphere-valued maps with inherent maximal tori symmetries in \(\mathbf{SO}(n)\) ⋮ Two results on the equivariant Ginzburg-Landau vortex in arbitrary dimension ⋮ Unnamed Item ⋮ Proper \(r\)-harmonic submanifolds into ellipsoids and rotation hypersurfaces ⋮ Harmonic maps with fixed singular sets ⋮ STABILITY OF THE ENERGY MINIMIZING MAPx/|x| ⋮ Stability of axisymmetric chiral skyrmions ⋮ Unnamed Item ⋮ On the existence of smooth self-similar blowup profiles for the wave map equation ⋮ Stability and local minimality of spherical harmonic twists \(u={\mathbf{Q}}(|x|) x|x|^{-1} \), positivity of second variations and conjugate points on \(\mathbf{SO}(n)\) ⋮ Stability for the \(p\)-energy of the equator map of the ball into an ellipsoid ⋮ Weak monotonicity inequality and partial regularity for harmonic maps
Cites Work
- Boundary regularity and the Dirichlet problem for harmonic maps
- A regularity theory for harmonic maps
- On the regularity of the minima of variational integrals
- La formule de la variation seconde de l'energie au voisinage d'une application harmonique
- An existence theorem for harmonic mappings of Riemannian manifolds
- Uniqueness and stability of harmonic maps and their Jacobi fields
- The Second Variation Formula for Harmonic Mappings
- Some properties and applications of harmonic mappings
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