A criterion for constantness of harmonic functions on exterior domains

Ozdemir M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.143, ss.251-257, 2003 (SCI-Expanded) identifier identifier

  • 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.