Radial single point rupture solutions for a general MEMS model

DOI10.1007/s00526-021-02158-4OpenAlexW4225948851WikidataQ114018020 ScholiaQ114018020MaRDI QIDQ2113296

Marius Ghergu, Yasuhito Miyamoto

Publication date: 14 March 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.12711

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Quasilinear elliptic equations (35J62)

Related Items (3)

Singular solutions to \(k\)-Hessian equations with fast-growing nonlinearities ⋮ Touchdown solutions in general MEMS models ⋮ On semilinear elliptic equation with negative exponent arising from a closed MEMS model

Cites Work

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• Intersection properties of radial solutions and global bifurcation diagrams for supercritical quasilinear elliptic equations
• Some results for a class of quasilinear elliptic equations with singular nonlinearity
• Global existence for nonlocal MEMS
• Bifurcations of some elliptic problems with a singular nonlinearity via Morse index
• Positive single rupture solutions to a semilinear elliptic equation
• Qualitative analysis of rupture solutions for a MEMS problem
• Asymptotic behavior of touch-down solutions and global bifurcations for an elliptic problem with a singular nonlinearity
• \(p\)-MEMS equation on a ball
• Uniqueness of solutions for an elliptic equation modeling MEMS
• On solutions with point ruptures for a semilinear elliptic problem with singularity
• Infinitely many turning points for some supercritical problems
• Separation property of solutions for a semilinear elliptic equation
• Singular extremal solutions for supercritical elliptic equations in a ball
• A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth
• Singular solutions of elliptic equations with iterated exponentials
• No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem
• Fundamental properties and asymptotic shapes of the singular and classical radial solutions for supercritical semilinear elliptic equations
• Rupture solutions of an elliptic equation with a singular nonlinearity
• A fourth-order model for MEMS with clamped boundary conditions
• Asymptotics of some nonlinear eigenvalue problems modelling a MEMS Capacitor. Part II: multiple solutions and singular asymptotics
• Infinitely many turning points for an elliptic problem with a singular non-linearity
• Solution curves for semilinear equations on a ball
• Infinitely many solutions for three classes of self-similar equations with p-Laplace operator: Gelfand, Joseph–Lundgren and MEMS problems
• Quantitative touchdown localization for the MEMS problem with variable dielectric permittivity
• Some singular equations modeling MEMS
• Point Ruptures for a MEMS Equation with Fringing Field
• No Touchdown at Zero Points of the Permittivity Profile for the MEMS Problem
• Touchdown and Pull-In Voltage Behavior of a MEMS Device with Varying Dielectric Properties

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