A Hölder continuity of symphonic maps into the spheres

DOI10.1007/s00526-015-0940-0zbMath1348.58008OpenAlexW2284083090MaRDI QIDQ262206

Nobumitsu Nakauchi, Masashi Misawa

Publication date: 29 March 2016

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

Full work available at URL: https://doi.org/10.1007/s00526-015-0940-0

zbMATH Keywords

regularityharmonic mapsmaps to spheressymphonic maps

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Variational problems in infinite-dimensional spaces (58E99)

Related Items (8)

Rotationally symmetric symphonic maps ⋮ Remarks on weakly stationary maps into spheres characterized by wedge product ⋮ An example of harmonic map into the spheres with the singularity of order 4 ⋮ Regularity of the \(m\)-symphonic map ⋮ Two examples of harmonic maps into spheres ⋮ Two results for symphonic maps under assumptions on \(m\)-symphonic energy ⋮ Stress energy tensor for symphonic maps ⋮ Prescribing discrete Gaussian curvature on polyhedral surfaces

Cites Work

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• A Hölder continuity of minimizing symphonic maps
• Some results for stationary maps of a functional related to pullback metrics
• A variational problem for pullback metrics
• The blow-up of \(p\)-harmonic maps
• Heat flow of \(p\)-harmonic maps with values into spheres
• Compensated compactness and Hardy spaces
• \(H^p\) spaces of several variables
• Another Report on Harmonic Maps
• A Report on Harmonic Maps

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