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Una identità integrale per le funzioni biarmoniche

Fabio Manaresi — 1971

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

An integral identity for biharmonic functions in an open sphere is established. Using this identity we prove the uniqueness of the biharmonic function which satisfies, in the sense of mean convergence, given conditions on the boundary. These results are extended to the case of a possibly unbounded open set.

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