Stable Harmonic Maps from Pinched Manifolds.
Y.L. Pan (1990)
Mathematische Zeitschrift
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Y.L. Pan (1990)
Mathematische Zeitschrift
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Peter Lappan (1966)
Mathematische Zeitschrift
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Monica Alice Aprodu (2007)
Bollettino dell'Unione Matematica Italiana
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We prove that PHH harmonic submersions are (weakly) stable.
Wang, Ze-Ping (2009)
Beiträge zur Algebra und Geometrie
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Yunmei Chen, Jianmin Gao (1994)
Mathematische Zeitschrift
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James Eells, Luc Lemaire (1984)
Mathematische Zeitschrift
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Peter Lappan (1965)
Mathematische Zeitschrift
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Krzysztof Bogdan, Andrzej Stós, Paweł Sztonyk (2003)
Studia Mathematica
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We investigate properties of functions which are harmonic with respect to α-stable processes on d-sets such as the Sierpiński gasket or carpet. We prove the Harnack inequality for such functions. For every process we estimate its transition density and harmonic measure of the ball. We prove continuity of the density of the harmonic measure. We also give some results on the decay rate of harmonic functions on regular subsets of the d-set. In the case of the Sierpiński gasket we even obtain...
Peter A. Lappan (1967)
Mathematische Zeitschrift
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Josephine Mitchell (1963)
Mathematische Zeitschrift
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Min-Chun Hong (1995)
Mathematische Zeitschrift
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Choi, Gundon, Yun, Gabjin (2005)
International Journal of Mathematics and Mathematical Sciences
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Ilpo Laine (1978)
Mathematische Zeitschrift
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Ursula Hamenstädt (1990)
Mathematische Zeitschrift
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