The minimality of the map \(\frac{x}{\| x \|}\) for weighted energy

DOI10.1007/s00526-005-0350-9zbMath1091.58008arXivmath/0604038OpenAlexW2073205387MaRDI QIDQ2492653

Jean-Christophe Bourgoin

Publication date: 14 June 2006

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604038

zbMATH Keywords

\(p\)-energy\(p\)-harmonic mapMinimizing mapWeighted energy

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (5)

On the minimality of the \(p\)-harmonic map \(x/\|x\|\) for weighted energy ⋮ Geodesics on \(\mathrm{SO}(n)\) and a class of spherically symmetric maps as solutions to a nonlinear generalised harmonic map problem ⋮ A class of extremising sphere-valued maps with inherent maximal tori symmetries in \(\mathbf{SO}(n)\) ⋮ Harmonic maps between two concentric annuli in \(\mathbb{R}^3\) ⋮ Stability and local minimality of spherical harmonic twists \(u={\mathbf{Q}}(|x|) x|x|^{-1} \), positivity of second variations and conjugate points on \(\mathbf{SO}(n)\)

Cites Work

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• Minimizing p-harmonic maps into spheres.
• Minimality and perturbation of singularities for certain p-harmonic maps
• On the minimality of the \(p\)-harmonic map \(\frac{x}{|x|}:B^n\to S^{n-1}\)

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