On removable singularities of p-harmonic maps

DOI10.1016/S0294-1449(16)30283-9zbMath0715.49040OpenAlexW2589407006MaRDI QIDQ752474

Frank Duzaar, Fuchs, Martin

Publication date: 1990

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1990__7_5_385_0

zbMATH Keywords

singularityregularity theoryremovable singularitiesp-energy functionalp-harmonic mapsdegenerate functionals

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Existence theories for free problems in two or more independent variables (49J10) Harmonic maps, etc. (58E20)

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Cites Work

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• p-harmonic obstacle problems. II: Extensions of maps and applications
• A monotonicity formula for Yang-Mills fields
• Eine Bemerkung zur Regularität stationärer Punkte von konform invarianten Variationsintegralen. (A remark on the regularity of stationary points of conformally invariant variational integrals)
• On removable singularities of certain harmonic maps
• A regularity theorem for harmonic maps with small energy
• The existence of minimal immersions of 2-spheres
• Regularity for a class of nonlinear elliptic systems
• Mappings minimizing theLp norm of the gradient
• Minimizing p-harmonic maps into spheres.
• On Harnack's theorem for elliptic differential equations
• A Report on Harmonic Maps
• SOME REGULARITY THEOREMS FOR MAPPINGS WHICH ARE STATIONARY POINTS OF THE P-ENERGY FUNCTIONAL