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It is well known that for higher order elliptic equations the positivitypreserving property (PPP) may fail. In striking contrast to what happens underDirichlet boundary conditions, we prove that the PPP holds for the biharmonicoperator on rectangular domains under partially hinged boundary conditions,i.e. nonnegative loads yield positive solutions. The result follows by fineestimates of the Fourier expansion of the corresponding Green function.

A positivity preserving property result for the biharmonic operator under partially hinged boundary conditions