A sharpening of a theorem of Bouligand. With an application to harmonic maps.
A short note on -biharmonic hypersurfaces
In the present paper we give some properties of -biharmonic hypersurfaces in real space forms. By using the -biharmonic equation for a hypersurface of a Riemannian manifold, we characterize the -biharmonicity of constant mean curvature and totally umbilical hypersurfaces in a Riemannian manifold and, in particular, in a real space form. As an example, we consider -biharmonic vertical cylinders in .
A stable manifold theorem for the gradient flow of geometric variational problems associated with quasi-linear parabolic equations
A Twistor Description of Harmonic Maps of a 2-Sphere into a Grassmannian.
A Weierstrass-type representation for harmonic maps from Riemann surfaces to general Lie groups.
Abbildungen harmonischer Raüme mit Anwendung auf die Laplace und Wärmeleitungsgleichung
This paper is devoted to a study of harmonic mappings of a harmonic space on a harmonic space which are related to a family of harmonic mappings of into . In this way balayage in may be reduced to balayage in . In particular, a subset of is polar if and only if is polar. Similar result for thinness. These considerations are applied to the heat equation and the Laplace equation.
Almost symplectic structures and harmonic morphisms
In this paper, we introduce the notion of symplectic harmonic maps between tamed manifolds and establish some properties. In the case where the manifolds are almost Hermitian manifolds, we obtain a new method to contruct harmonic maps with minimal fibres. We finally present examples of such applications between projectives spaces.
An application of subordination on harmonic function.
An energy estimate of an exterior problem and a Liouville theorem for harmonic maps
An Existence Theorem for Harmonic Maps.
An Existence Theorem for Harmonic Sections.
An optimal estimate for the singular set of a harmonic map in the free boundary.
An -regularity result for generalized harmonic maps into spheres.
Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres.
Application équilibre d'un espace homogène dans une variété riemannienne
Applications harmoniques de dans partout discontinues
Applications harmoniques entre graphes finis et un théorème de superrigidité
Nous définissons une ntoion d’énergie pour des applications entre deux graphes métriques finis et cherchons à minimiser l’énergie au sein d’une classe d’homotopie. Nous démontrons des théorèmes d’existence et d’unicité analogues à ceux de Eells-Sampson et de Hartman pour les applications harmoniques à valeurs dans les variétés à courbure négative ou nulle. Nous montrons également une propriété de stabilité des applications minimisantes par rapport aux revêtements de degré fini à la source. Une application...
Applications harmoniques, immersions minimales et transformations conformes de la sphère
Applications harmoniques stables dans
Asymptotic behavior for minimizers of a -energy functional associated with -harmonic maps.