Global existence for nonlocal MEMS |
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Authors: | Daniele Cassani Luisa Fattorusso |
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Affiliation: | a Dipartimento di Matematica “Brioschi”, Politecnico di Milano, P.zza L. Da Vinci 32, 20133-Milano, Italyb DIMET, Università Mediterranea degli Studi di Reggio Calabria, Via Graziella (loc. Feo di Vito), 89100-Reggio Calabria, Italyc Dipartimento di Matematica “L.Tonelli”, Università di Pisa, Via F. Buonarroti 2, 56127-Pisa, Italy |
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Abstract: | ![]() We prove the existence of solutions for a nonlocal equation arising from the mathematical modeling of MicroElectroMechanicalSystems (MEMS). The existence result, obtained within a suitable Implicit Function Theorem framework, is established under rather general boundary conditions and for bounded domains whose diameter is fairly small. |
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Keywords: | 35G30 35J40 35R09 |
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