Open Access Research Article

Stagnation Zones for -Harmonic Functions on Canonical Domains

VladimirM Miklyukov1, Antti Rasila2* and Matti Vuorinen3

Author Affiliations

1 Department of Mathematics, Volgograd State University, Universitetskii prospect 100, Volgograd 400062, Russia

2 Department of Mathematics and Systems Analysis, Aalto University, P.O. Box 11100, FI-00076 Aalto, Finland

3 Department of Mathematics, University of Turku, 20014 Turku, Finland

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Boundary Value Problems 2009, 2009:853607 doi:10.1155/2009/853607

Published: 4 February 2010

Abstract

We study stagnation zones of -harmonic functions on canonical domains in the Euclidean -dimensional space. Phragmén-Lindelöf type theorems are proved.