Boundary Value Problems
Volume 2009 (2009), Article ID 853607, 23 pages
doi:10.1155/2009/853607
Stagnation Zones for 𝒜-Harmonic Functions on Canonical Domains
Vladimir M. Miklyukov1
, Antti Rasila2
and Matti Vuorinen3
1Department of Mathematics, Volgograd State University, Universitetskii prospect 100, Volgograd 400062, Russia
2Department of Mathematics and Systems Analysis, Aalto University, P.O. Box 11100, FI-00076 Aalto, Finland
3Department of Mathematics, University of Turku, 20014 Turku, Finland
Abstract
We study stagnation zones of 𝒜-harmonic functions on canonical domains in the Euclidean n-dimensional space. Phragmén-Lindelöf type theorems are proved.