Partial regularity of stablep-harmonic maps into spheres

DOI10.1017/S0004972700039678zbMath1132.53312OpenAlexW2103453716MaRDI QIDQ5438367

Min-Chun Hong

Publication date: 23 January 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700039678

zbMATH Keywords

second fundamental form\(p\)-energy

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Cites Work

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• Harmonic and quasi-harmonic spheres
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• Partial regularity of minimizers of a functional involving forms and maps
• Harmonic and quasi-harmonic spheres. II.
• The \(p\)-harmonic approximation and the regularity of \(p\)-harmonic maps
• On the singular set of stable-stationary harmonic maps
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Regularity of stable minimal hypersurfaces
• On the hausdorff dimension of the singular set of stable-stationary harmonic maps