Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions
Hanen Ben Omrane, Saïma Khenissy · Opuscula Mathematica · 2014
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].