Periodic solutions to nonlocal MEMS equations

Daniele  Cassani; Antonio Tarsia

doi:10.3934/dcdss.2016017

Article Contents

2016, Volume 9, Issue 3: 631-642. Doi: 10.3934/dcdss.2016017

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Periodic solutions to nonlocal MEMS equations

Daniele Cassani^1, and
Antonio Tarsia^2,

1.
Dipartimento di Scienza e Alta Tecnologia, Università degli Studi dell'Insubria, Via Valleggio 11, 22100 Como
2.
Dipartimento di Matematica “L. Tonelli”, Università di Pisa, Largo B. Pontecorvo, 5. I-56127 Pisa

Received: March 2015

Revised: February 2016

Published: June 2016

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Abstract

Combining a priori estimates with penalization techniques and an implicit function argument based on Campanato's near operators theory, we obtain the existence of periodic solutions for a fourth order integro-differential equation modelling actuators in MEMS devices.

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Mathematics Subject Classification: Primary: 35A1, 35G30; Secondary: 35L75.

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References

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