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.
@article{bwmeta1.element.bwnjournal-article-apmv68z3p257bwm,
author = {Ewa Ligocka},
title = {Elementary proofs of the Liouville and B\^ocher theorems for polyharmonic functions},
journal = {Annales Polonici Mathematici},
volume = {69},
year = {1998},
pages = {257-265},
zbl = {0903.31006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv68z3p257bwm}
}
Ewa Ligocka. Elementary proofs of the Liouville and Bôcher theorems for polyharmonic functions. Annales Polonici Mathematici, Tome 69 (1998) pp. 257-265. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv68z3p257bwm/
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