Boundary Value Problems
Volume 2009 (2009), Article ID 853607, 23 pages
Stagnation Zones for -Harmonic Functions on Canonical Domains
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
Received 1 July 2009; Revised 31 October 2009; Accepted 15 November 2009
Academic Editor: Sandro Salsa
Copyright © 2009 Vladimir M. Miklyukov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study stagnation zones of -harmonic functions on canonical domains in the Euclidean -dimensional space. Phragmén-Lindelöf type theorems are proved.