Geodesic
Liouville's theorem and the restricted mean property for biharmonic functions
Electronic journal of differential equations, Tome 2004 (2004)
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},
     year = {2004},
     volume = {2004},
     zbl = {1084.31003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a23/}
}
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JO  - Electronic journal of differential equations
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VL  - 2004
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%0 Journal Article
%A El Kadiri,  Mohamed
%T Liouville's theorem and the restricted mean property for biharmonic functions
%J Electronic journal of differential equations
%D 2004
%V 2004
%U http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a23/
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%F EJDE_2004__2004__a23
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/