Displaying similar documents to “Asymptotic Behavior of Solutions to Eells-Sampson Equations near Stable Harmonic Maps.”

PHH Harmonic Submersions are Stable

Monica Alice Aprodu (2007)

Bollettino dell'Unione Matematica Italiana

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We prove that PHH harmonic submersions are (weakly) stable.

Harnack inequality for stable processes on d-sets

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...