Summary.
(A Converse to the Mean Value Theorem for Biharmonic Functions.) We prove a converse to the mean value theorem for classical biharmonic functions.
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El Kadiri, M. Une réciproque du théorème de la moyenne pour les fonctions biharmoniques . Aequ. math. 65, 280–287 (2003). https://doi.org/10.1007/s00010-003-2674-x
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DOI: https://doi.org/10.1007/s00010-003-2674-x