Harmonic maps from manifolds of \(L^{\infty}\)-Riemannian metrics

DOI10.1007/s00526-007-0149-yzbMath1154.58005OpenAlexW2130372369WikidataQ115387661 ScholiaQ115387661MaRDI QIDQ927301

W. Ishizuka, Changyou Wang

Publication date: 4 June 2008

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

Full work available at URL: https://doi.org/10.1007/s00526-007-0149-y

zbMATH Keywords

Riemannian manifoldsharmonic mapsquasi-monocity inequality

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Harmonic maps, etc. (58E20)

Related Items (5)

Lipschitz continuity of harmonic maps between Alexandrov spaces ⋮ Regularity of quasi-\(n\)-harmonic mappings into NPC spaces ⋮ Quantitative gradient estimates for harmonic maps into singular spaces ⋮ Harmonic mappings between singular metric spaces ⋮ A strong convergence of the weak gradient to A-harmonic type operators with \(L^1\) data

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A regularity theory for harmonic maps
• A monotonicity formula for Yang-Mills fields
• Partial regularity for stationary harmonic maps into spheres
• Gradient estimates and blow-up analysis for stationary harmonic maps
• On the singular set of stationary harmonic maps
• Everywhere discontinuous harmonic maps into spheres
• Elliptic partial differential equations of second order
• Compensated compactness and Hardy spaces
• A partial regularity result of harmonic maps from manifolds with bounded measurable Riemannian metrics
• \(H^p\) spaces of several variables
• Elliptic equations with BMO coefficients in Reifenberg domains
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)

This page was built for publication: Harmonic maps from manifolds of \(L^{\infty}\)-Riemannian metrics