Geodesic
Uniform approximation of continuous functions on compact sets by biharmonic functions
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 3, pp. 427-435.

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We give a characterization of functions that are uniformly approximable on a compact subset $K$ of $\Bbb R^n$ by biharmonic functions in neighborhoods of $K$.
Classification : 31A30, 41A30, 42A10
Keywords: biharmonic function; finely biharmonic function; approximation of continuous functions on compact sets 
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     title = {Uniform approximation of continuous functions on compact sets by biharmonic functions},
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Chadli, Mustafa; El Kadiri, Mohamed. Uniform approximation of continuous functions on compact sets by biharmonic functions. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 3, pp. 427-435. http://geodesic.mathdoc.fr/item/CMUC_2003__44_3_a3/