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

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 $nge 3$.

Bibliographic Details
Main Author: Mohamed El Kadiri
Format: Article
Language:English
Published: Texas State University 2004-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/66/abstr.html