Geodesic
Liouville's theorem and the restricted mean property for biharmonic functions
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $n\ge 3$.
Classification : 31B30
Keywords: biharmonic function, mean property, Liouville's theorem 
@article{EJDE_2004__2004__a23,
     author = {El Kadiri, Mohamed},
     title = {Liouville's theorem and the restricted mean property for biharmonic functions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a23/}
}
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El Kadiri, Mohamed. Liouville's theorem and the restricted mean property for biharmonic functions. Electronic Journal of Differential Equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a23/