The aim of this note is to generalize the Liouville theorem to polyharmonic functions on . We give a condition on spherical means to assure that is a polynomial.
Toshihide FUTAMURA. Kyoko KISHI. Yoshihiro MIZUTA. "A generalization of the Liouville theorem to polyharmonic functions." J. Math. Soc. Japan 53 (1) 113 - 118, January, 2001. https://doi.org/10.2969/jmsj/05310113