Liouville's theorem and the restricted mean property for Biharmonic Functions
El Kadiri, Mohamed
Southwest Texas State University, Department of Mathematics
We prove that under certain conditions, a bounded Lebesgue measurable function satisfying the restricted mean value for biharmonic functions is constant, in ℝn with n ≥ 3.
Biharmonic function, Mean property, Liouville's theorem
El Kadiri, M. (2004). Liouville's theorem and the restricted mean property for Biharmonic Functions. <i>Electronic Journal of Differential Equations, 2004</i>(66), pp. 1-5.