Stationary p-harmonic maps into spheres
Paweł Strzelecki (1996)
Banach Center Publications
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Paweł Strzelecki (1996)
Banach Center Publications
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Wang, Ze-Ping, Ou, Ye-Lin (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Ge, Yuxin (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bhattacharya, Tilak (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ou, Ye-Lin, Wei, Shihshu Walter (2004)
Beiträge zur Algebra und Geometrie
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Frédéric Hélein (1992)
Banach Center Publications
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Bejan, C. L., Benyounes, M. (2003)
Beiträge zur Algebra und Geometrie
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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.,...
Cotîrlă, Luminiţa-Ioana (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Yu, Yifeng (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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James Eells, Luc Lemaire (1992)
Banach Center Publications
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Mäkäläinen, Tero (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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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|.