On semi‐linear elliptic equation arising from Micro‐Electromechanical Systems with contacting elastic membrane

DOI10.1002/zamm.201700333arXiv1512.03180WikidataQ127944978 ScholiaQ127944978MaRDI QIDQ6145891

Feng Zhou, Huyuan Chen, Unnamed Author

Publication date: 9 January 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03180

zbMATH Keywords

stableMEMSpull-in voltageminimal solutions

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Second-order elliptic equations (35J15) Semilinear elliptic equations (35J61)

Related Items (1)

On semilinear elliptic equation with negative exponent arising from a closed MEMS model

Cites Work

• Unnamed Item
• Regularity of the extremal solution for some elliptic problems with singular nonlinearity and advection
• On a general family of nonautonomous elliptic and parabolic equations
• On the partial differential equations of electrostatic MEMS devices. III: Refined touchdown behavior
• Analysis of boundary bubbling solutions for an anisotropic Emden-Fowler equation
• Mathematical Modeling of Electrostatic MEMS with Tailored Dielectric Properties
• The best possible constant in generalized Hardy's inequality for convex domain in rn
• BOUNDEDNESS OF THE EXTREMAL SOLUTION FOR SEMILINEAR ELLIPTIC PROBLEMS
• On the Partial Differential Equations of Electrostatic MEMS Devices: Stationary Case
• A nonlocal quenching problem arising in a micro-electro mechanical system
• Nonlinear non-local elliptic equation modelling electrostatic actuation
• Touchdown and Pull-In Voltage Behavior of a MEMS Device with Varying Dielectric Properties
• An elliptic semilinear equation with source term involving boundary measures: the subcritical case

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