@Article{BenOmrane2014, author = "Ben Omrane, Hanen and Khenissy, Saïma", title = "Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions", journal = "Opuscula Math.", year = "2014", volume = "34", number = "3", pages = "601--608", doi = "http://dx.doi.org/10.7494/OpMath.2014.34.3.601", url = "http://dx.doi.org/10.7494/OpMath.2014.34.3.601", abstract = "We prove a dichotomy result giving the positivity preserving property for a biharmonic equation with Dirichlet boundary conditions arising in MEMS models. We adapt some ideas in [H.-Ch. Grunau, G. Sweers, Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions, Math. Ann. 307 (1997), 589-626].", keywords = "biharmonic equation, positivity preserving, Dirichlet problem", issn = "1232-9274" }