A Liouville type theorem for $p$-harmonic functions on minimal submanifolds in $\mathbb {R}^{n+m}$

Yingbo Han; Shuxiang Feng

Displaying similar documents to “A Liouville type theorem for $p$ -harmonic functions on minimal submanifolds in $ℝ^{n + m}$ ”

Classifications of some special infinity-harmonic maps.

Wang, Ze-Ping, Ou, Ye-Lin (2009)

Balkan Journal of Geometry and its Applications (BJGA)

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Gap properties of harmonic maps and submanifolds

Qun Chen, Zhen Rong Zhou (2005)

Archivum Mathematicum

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In this article, we obtain a gap property of energy densities of harmonic maps from a closed Riemannian manifold to a Grassmannian and then, use it to Gaussian maps of some submanifolds to get a gap property of the second fundamental forms.

A classification and some constructions of $p$ -harmonic morphisms.

Ou, Ye-Lin, Wei, Shihshu Walter (2004)

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Harmonic morphisms and non-linear potential theory

Ilpo Laine (1992)

Banach Center Publications

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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.,...