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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 15
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 15, Issue 3, October 2008
  4. Touchdown and related problems in electrostatic MEMS device equation
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 15, Issue 4-5, December 2008
Nonlinear Differential Equations and Applications NoDEA : Volume 15, Issue 6, December 2008
Nonlinear Differential Equations and Applications NoDEA : Volume 15, Issue 3, October 2008
Modified low regularity well-posedness for the one-dimensional Dirac-Klein-Gordon system
On some nonlinear elliptic problems for p–Laplacian in $$\mathbb {R}^N$$
Multiple positive solutions for a quasilinear system of Schrödinger equations
An oscillatory bifurcation from infinity, and from zero
The large-time behavior of solutions of the Cauchy-Dirichlet problem for Hamilton-Jacobi equations
Touchdown and related problems in electrostatic MEMS device equation
Radial solutions with a vortex to an asymptotically linear elliptic equation
Nonlinear Differential Equations and Applications NoDEA : Volume 15, Issue 1-2, April 2008
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Touchdown and related problems in electrostatic MEMS device equation

Content Provider SpringerLink
Author Suzuki, Takashi Miyasita, Tosiya Kavallaris, Nikos I.
Copyright Year 2008
Abstract We study the electrostatic MEMS-device equation, $$u_{t} -\Delta u = \frac{\lambda |x|^{\beta}}{(1-u)^{p}}$$ , with Dirichlet boundary condition. First, we describe the touchdown of non-stationary solution in accordance with the total set of stationary solutions. Then, we classify radially symmetric stationary solutions and their radial Morse indices. Finally, we show the Morse-Smale property for radially symmetric non-stationary solutions.
Ending Page 386
Page Count 24
Starting Page 363
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 3
Volume Number 15
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2008-10-03
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword touchdown-quenching Singularities, blowup, stress concentrations Membranes Electrostatic MEMS Analysis Nonlinear elliptic equations Qualitative behavior of solutions Morse idex Nonlinear parabolic equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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