Opuscula Mathematica
Opuscula Math. 34, no. 3 (2014), 601-608

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.
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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
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Received: 2013-10-24.
Accepted: 2014-02-20.
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Hanen Ben Omrane, Saïma Khenissy, Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions, Opuscula Math. 34, no. 3 (2014), 601-608, http://dx.doi.org/10.7494/OpMath.2014.34.3.601.
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