A criterion for constantness of harmonic functions on exterior domains
APPLIED MATHEMATICS AND COMPUTATION, cilt.143, ss.251-257, 2003 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 143
- Basım Tarihi: 2003
- Doi Numarası: 10.1016/s0096-3003(02)00357-0
- Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.251-257
- Atatürk Üniversitesi Adresli: Evet
Özet
Lionville's classical theorem assures that every harmonic function on the whole space R-n that is moreover bounded from below is a constant. It is easy to observe that, generally, the some result does not hold if we replace the whole space R-n with an exterior domain. In this paper we have obtained a criterion for constantness of harmonic functions defined on exterior domains. (C) 2002 Elsevier Science Inc. All rights reserved.