Neumann Condition in the Schroedinger-Maxwell system

We study a system of (nonlinear) Schroedinger and Maxwell equation in a bounded domain, with a Dirichelet boundary condition for the wave function ψ and a nonhomogeneous Neumann datum for the electric potential φ. Under a suitable compatibility condition, we establish the existence of infinitely many static solutions ψ = u(x) in equilibrium with a purely electrostatic field E = −∇φ. Due to the Neumann condition, the same electric field is in equilibrium with stationary solutions ψ = u(x)exp(−iωt) of arbitrary frequency ω.



Titolo: Neumann Condition in the Schroedinger-Maxwell system
Autori: 
PISANI, Lorenzo
mostra contributor esterni 
Data di pubblicazione: 2007
Rivista: 
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS  
Abstract: We study a system of (nonlinear) Schroedinger and Maxwell equation in a bounded domain, with a Dirichelet boundary condition for the wave function ψ and a nonhomogeneous Neumann datum for the electric potential φ. Under a suitable compatibility condition, we establish the existence of infinitely many static solutions ψ = u(x) in equilibrium with a purely electrostatic field E = −∇φ. Due to the Neumann condition, the same electric field is in equilibrium with stationary solutions ψ = u(x)exp(−iωt) of arbitrary frequency ω.
Handle: http://hdl.handle.net/11586/11319
Appare nelle tipologie:1.1 Articolo in rivista

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http://hdl.handle.net/11586/11319
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