Approximated harmonic maps with tension fields in Zygmund class

DOI10.1016/j.jfa.2024.110736MaRDI QIDQ6658225

Xiang Rong Zhu, Jiayu Li

Publication date: 8 January 2025

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

harmonic mapenergy identityZygmund classHopf differentialnecklessness

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) PDEs on manifolds (35R01)

Cites Work

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• Energy identity for approximate harmonic maps from surfaces to general targets
• Remarks on approximate harmonic maps in dimension two
• Bubble tree convergence for harmonic maps
• On singularities of the heat flow for harmonic maps from surfaces into spheres
• Energy identity for a class of approximate harmonic maps from surfaces
• Energy identity for the maps from a surface with tension field bounded in \(L^{p}\)
• SMALL ENERGY COMPACTNESS FOR APPROXIMATE HARMONIC MAPPINGS
• Global estimates and energy identities for elliptic systems with antisymmetric potentials
• Bubbling of the heat flows for harmonic maps from surfaces

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