It is well known that for higher order elliptic equations, the positivity preserving property (PPP) may fail. In striking contrast to what happens under Dirichlet boundary conditions, we prove that the PPP holds for the biharmonic operator on rectangular domains under partially hinged boundary conditions, i.e., nonnegative loads yield positive solutions. The result follows by fine estimates of the Fourier expansion of the corresponding Green function.
A positivity preserving property result for the biharmonic operator under partially hinged boundary conditions / Berchio, E.; Falocchi, A.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - (2020).
Titolo: | A positivity preserving property result for the biharmonic operator under partially hinged boundary conditions |
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Data di pubblicazione: | 2020 |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s10231-020-01054-6 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11583/2859018