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20102013
most citedSign-Preserving Property for Some Fourth-Order Elliptic Operators in One Dimension and Radial Symmetry

4 citations

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math.AP2013★ 4 cited

Sign-Preserving Property for Some Fourth-Order Elliptic Operators in One Dimension and Radial Symmetry

Philippe Laurencot, Christoph Walker

For a class of one-dimensional linear elliptic fourth-order equations with homogeneous Dirichlet boundary conditions it is shown that a non-positive and non-vanishing right-hand si…

math.AP2013

Dynamics of a free boundary problem with curvature modeling electrostatic MEMS

Joachim Escher, Philippe Laurencot, Christoph Walker

The dynamics of a free boundary problem for electrostatically actuated microelectromechanical systems (MEMS) is investigated. The model couples the electric potential to the deform…