A+ CATEGORY SCIENTIFIC UNIT

Elementary proofs of the Liouville and Bôcher theorems for polyharmonic functions

Volume 68 / 1998

Ewa Ligocka Annales Polonici Mathematici 68 (1998), 257-265 DOI: 10.4064/ap-68-3-257-265

Abstract

Elementary proofs of the Liouville and Bôcher theorems for polyharmonic functions are given. These proofs are on the calculus level and use only the basic knowledge of harmonic functions given in Axler, Bourdon and Ramey's book.

Authors

  • Ewa Ligocka

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