A classification and some constructions of -harmonic morphisms.
Ou, Ye-Lin, Wei, Shihshu Walter (2004)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Harmonic -morphisms.”
A classification and some constructions of -harmonic morphisms.
Classifications of some special infinity-harmonic maps.
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Harmonic morphisms between degenerate semi-Riemannian manifolds.
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Radial limits of superharmonic functions in the plane
D. Armitage (1994)
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Harmonic morphisms and non-linear potential theory
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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.,...
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A note on non-negative singular infinity-harmonic functions in the half-space.
Tilak Bhattacharya (2005)
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In this work we study non-negative singular infinity-harmonic functions in the half-space. We assume that solutions blow-up at the origin while vanishing at infinity and on a hyperplane. We show that blow-up rate is of the order |x|.
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