Opuscula Math. 34, no. 3 (), 601-608
http://dx.doi.org/10.7494/OpMath.2014.34.3.601
Opuscula Mathematica

# Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions

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.
Mathematics Subject Classification: 35J40, 31B30.