Variational approach to MEMS model with fringing field

DOI10.1016/j.jmaa.2014.10.053zbMath1312.35098OpenAlexW1992447524MaRDI QIDQ472334

Masafumi Fukunishi, Tatsuya Watanabe

Publication date: 19 November 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.10.053

zbMATH Keywords

mountain pass theoremvariational methodMEMSmonotonicity trick

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (7)

Convergence of solutions of a nonlocal biharmonic MEMS equation with the fringing field ⋮ Radially symmetric stationary solutions for a MEMS type reaction–diffusion equation with fringing field ⋮ The structure of stationary solutions to a micro-electro mechanical system with fringing field ⋮ Some singular equations modeling MEMS ⋮ On the existence of coexistence states for an advection-cooperative system with spatial heterogeneities ⋮ Stationary solutions for a 1D PDE problem with gradient term and negative powers nonlinearity ⋮ Fringing field can prevent infinite time quenching

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