Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 66, pp. 1-5.

Title: Liouville's theorem and the restricted mean property 
       for Biharmonic Functions

Author: Mohamed El Kadiri (Sale, Morocco)

Abstract:
 We prove that under certain conditions, a bounded Lebesgue
 measurable function satisfying the restricted mean value
 for biharmonic functions is constant, in $\mathbb{R}^n$
 with $n\ge 3$.

Submitted April 10, 2003. Published April 28, 2004.
Math Subject Classifications: 31B30.
Key Words: Biharmonic function; mean property; Liouville's theorem.