Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems

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This paper deals with the Klein-Gordon-Maxwell system in a bounded spatial domain. We study the existence of solutions having a specific form, namely standing waves in equilibrium with a purely electrostatic field. We prescribe Dirichlet boundary conditions on the matter field, and either Dirichlet or Neumann boundary conditions on the electric potential.
14 pages

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Analysis of PDEs, Mathematical Physics, 35J55; 35J65; 35J50; 35Q40; 35Q60

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http://salesiana.dossiersoluciones.com/handle/123456789/210752

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.3009
 http://arxiv.org/abs/0812.3009

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arXiv