p-harmonic functions on graphs and manifolds.

Ilkka Holopainen; Paolo M. Soardi

Displaying similar documents to “p-harmonic functions on graphs and manifolds.”

Liouville theorems for exponentially harmonic functions on Riemannian manifolds.

Hong Min-Chun (1992)

Manuscripta mathematica

Similarity:

On the continuity of harmonic mappings and the Boundary.

George Paulik (1988)

Manuscripta mathematica

Similarity:

Locally Minimizing Harmonic Maps from Noncompact Manifolds.

Wie-Yue Ding (1994)

Manuscripta mathematica

Similarity:

A strong Liouville theorem for $p$ -harmonic functions on graphs.

Holopainen, Ilkka, Soardi, Paolo M. (1997)

Annales Academiae Scientiarum Fennicae. Mathematica

Similarity:

Harmonic morphisms and subharmonic functions.

Choi, Gundon, Yun, Gabjin (2005)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Harmonic morphisms between riemannian manifolds

Bent Fuglede (1978)

Annales de l'institut Fourier

Similarity:

A harmonic morphism $f : M \to N$ between Riemannian manifolds $M$ and $N$ is by definition a continuous mappings which pulls back harmonic functions. It is assumed that dim $M \geq$ dim $N$ , since otherwise every harmonic morphism is constant. It is shown that a harmonic morphism is the same as a harmonic mapping in the sense of Eells and Sampson with the further property of being semiconformal, that is, a conformal submersion of the points where $d f$ vanishes. Every non-constant harmonic morphism is shown to be...