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Global existence for nonlocal MEMS
Authors:Daniele Cassani  Luisa Fattorusso
Affiliation:
  • a Dipartimento di Matematica “Brioschi”, Politecnico di Milano, P.zza L. Da Vinci 32, 20133-Milano, Italy
  • b DIMET, Università Mediterranea degli Studi di Reggio Calabria, Via Graziella (loc. Feo di Vito), 89100-Reggio Calabria, Italy
  • c Dipartimento di Matematica “L.Tonelli”, Università di Pisa, Via F. Buonarroti 2, 56127-Pisa, Italy
  • 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.
    Keywords:35G30   35J40   35R09
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