Existence proofs for harmonic mappings with the help of a maximum principle

DOI10.1007/BF01161730zbMath0526.58015WikidataQ125966231 ScholiaQ125966231MaRDI QIDQ594446

Juergen Jost

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173377

zbMATH Keywords

Dirichlet problemenergy minimizing mapsreplacement arguments

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Related Items

Equilibrium maps between metric spaces, Curvature bounds on length-minimizing discs, The maximum principle and the Dirichlet problem for Dirac-harmonic maps, Sobolev spaces of maps and the Dirichlet problem for harmonic maps, Exponentially harmonic maps between surfaces, Unnamed Item, The Plateau-Douglas problem for nonorientable minimal surfaces, A maximum principle for generalizations of harmonic maps in Hermitian, affine, Weyl, and Finsler geometry

Cites Work

• Unnamed Item
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• Boundary regularity and the Dirichlet problem for harmonic maps
• A regularity theory for harmonic maps
• Liouville theorems for nonlinear elliptic equations and systems
• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• Ein Existenzbeweis für harmonische Abbildungen, die ein Dirichletproblem lösen, mittels der Methode des Wärmeflusses
• The existence of minimal immersions of 2-spheres
• On the regularity of the minima of variational integrals
• Some regularity results for quasilinear elliptic systems of second order
• An existence theorem for harmonic mappings of Riemannian manifolds
• \(C^\infty\) convex functions and manifolds of positive curvature
• Applications harmoniques de surfaces riemanniennes
• Uniqueness and stability of harmonic maps and their Jacobi fields
• Die Existenz geschlossener Geodätischer auf kompakten Mannigfaltigkeiten
• A Report on Harmonic Maps
• On the plateau problem for surfaces of constant mean curvature