Elementary proofs of the Liouville and Bôcher theorems for polyharmonic functions
Tom 68 / 1998
Annales Polonici Mathematici 68 (1998), 257-265
DOI: 10.4064/ap-68-3-257-265
Streszczenie
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.