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 “Classifications of some special infinity-harmonic maps.”
A classification and some constructions of -harmonic morphisms.
Stationary p-harmonic maps into spheres
Paweł Strzelecki (1996)
Banach Center Publications
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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.,...
Harmonic -morphisms.
Bejan, C. L., Benyounes, M. (2003)
Beiträge zur Algebra und Geometrie
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On weakly harmonic maps and Noether harmonic maps from a Riemann surface into a Riemannian manifold
Frédéric Hélein (1992)
Banach Center Publications
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A new class of harmonic multivalent functions defined by an integral operator.
Cotîrlă, Luminiţa-Ioana (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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An -regularity result for generalized harmonic maps into spheres.
Moser, Roger (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Some properties of exponentially harmonic maps
James Eells, Luc Lemaire (1992)
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Some properties of the extreme values of infinity-harmonic functions.
Bhattacharya, Tilak (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Sălăgean-type harmonic multivalent functions.
Jahangiri, Jay M., Şeker, Bilal, Eker, Sevtap Sümer (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Radial limits of superharmonic functions in the plane
D. Armitage (1994)
Colloquium Mathematicae
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A class of multivalent harmonic functions involving a generalized Ruscheweyh type operator
Waggas Galib Atshan, S. R. Kulkarni, R. K. Raina (2008)
Matematički Vesnik
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A note on non-negative singular infinity-harmonic functions in the half-space.
Tilak Bhattacharya (2005)
Revista Matemática Complutense
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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|.