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.
Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems / D'Avenia, Pietro; Pisani, Lorenzo; Siciliano, Gaetano. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - ELETTRONICO. - 71:12(2009), pp. e1985-e1995. [10.1016/j.na.2009.02.111]
Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems
D'AVENIA, Pietro;
2009-01-01
Abstract
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.File in questo prodotto:
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