Boundary Value Problems
Volume 2009 (2009), Article ID 853607, 23 pages
doi:10.1155/2009/853607
Research Article

Stagnation Zones for 𝒜-Harmonic Functions on Canonical Domains

Vladimir M. Miklyukov,1 Antti Rasila,2 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

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.

Abstract

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