Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions

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, M...

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Bibliographic Details
Main Authors: Hanen Ben Omrane, Saïma Khenissy
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2014-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol34/3/art/opuscula_math_3436.pdf