A counterexample to uniqueness and regularity for harmonic maps between hyperbolic spaces

DOI10.1007/BF02921328zbMath0761.58005OpenAlexW2078307934WikidataQ124804560 ScholiaQ124804560MaRDI QIDQ1204884

Michael Economakis

Publication date: 1 April 1993

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921328

zbMATH Keywords

regularityuniquenesshyperbolic spacesharmonic maps

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Second-order nonlinear hyperbolic equations (35L70) Asymptotic expansions of solutions to PDEs (35C20) Harmonic maps, etc. (58E20) Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary behavior of holomorphic functions of several complex variables (32A40)

Related Items (2)

Asymptotics of the radiation field for the massless Dirac-Coulomb system ⋮ Proper harmonic maps between asymptotically hyperbolic manifolds

Cites Work

• Infinite energy harmonic maps and degeneration of hyperbolic surfaces in moduli space
• Uniqueness and regularity of proper harmonic maps
• The heat equation and harmonic maps of complete manifolds

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