A classification and some constructions of -harmonic morphisms.

Ou, Ye-Lin; Wei, Shihshu Walter

Displaying similar documents to “A classification and some constructions of $p$ -harmonic morphisms.”

Classifications of some special infinity-harmonic maps.

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Balkan Journal of Geometry and its Applications (BJGA)

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Harmonic $ϕ$ -morphisms.

Bejan, C. L., Benyounes, M. (2003)

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Harmonic morphisms and non-linear potential theory

Ilpo Laine (1992)

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Originally, harmonic morphisms were defined as continuous mappings φ:X → X' between harmonic spaces such that h'∘φ remains harmonic whenever h' is harmonic, see [1], p. 20. In general linear axiomatic potential theory, one has to replace harmonic functions h' by hyperharmonic functions u' in this definition, in order to obtain an interesting class of mappings, see [3], Remark 2.3. The modified definition appears to be equivalent with the original one, provided X' is a Bauer space, i.e.,...

On weakly harmonic maps and Noether harmonic maps from a Riemann surface into a Riemannian manifold

Frédéric Hélein (1992)

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Stationary p-harmonic maps into spheres

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A new class of harmonic multivalent functions defined by an integral operator.

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An $ε$ -regularity result for generalized harmonic maps into spheres.

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On generalized $f$ -harmonic morphisms

A. Mohammed Cherif, Djaa Mustapha (2014)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we study the characterization of generalized $f$ -harmonic morphisms between Riemannian manifolds. We prove that a map between Riemannian manifolds is an $f$ -harmonic morphism if and only if it is a horizontally weakly conformal map satisfying some further conditions. We present new properties generalizing Fuglede-Ishihara characterization for harmonic morphisms ([Fuglede B., Harmonic morphisms between Riemannian manifolds, Ann. Inst. Fourier (Grenoble) 28 (1978), 107–144],...