Théorème de Liouville et propriété de la moyenne biharmonique restreinte

We prove, under some conditions, that a bounded Lebesgue measurable function satisfying the restricted mean value for the biharmonic functions in Rn, n≠2, or in an open set of R2 with polar complement, is constant. To cite this article: M. El Kadiri, C. R. Acad. Sci. Paris, Ser. I 340 (2005).