Opuscula Math. 34, no. 3 (2014), 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
Hanen Ben Omrane
Saïma Khenissy
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.
- Hanen Ben Omrane
- Institut Préparatoire des Études d'Ingénierie de Tunis, Mont-Fleury, Tunisie
- Saïma Khenissy
- Département de Mathématiques Appliquées, Institut Supérieur d'Informatique, Ariana, Tunisie
- Received: 2013-10-24.
- Accepted: 2014-02-20.
