We study the class of nonlinear Klein-Gordon-Maxwell systems describing a standing wave (charged matter field) in equilibrium with a purely electrostatic field. We improve sonic previous existence results in the case of an homogeneous nonlinearity. Moreover, we deal with a limit case, namely when the frequency of the standing wave is equal to the mass of the charged field; this case shows analogous features of the well-known 'zero-mass case' for scalar field equations
Improved estimates and a limit case for the electrostatic Klein-Gordon-Maxwell system / Azzollini, A.; Pisani, L.; Pomponio, Alessio. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 141:(2011), pp. 449-463. [10.1017/S0308210509001814]
Improved estimates and a limit case for the electrostatic Klein-Gordon-Maxwell system
POMPONIO, Alessio
2011-01-01
Abstract
We study the class of nonlinear Klein-Gordon-Maxwell systems describing a standing wave (charged matter field) in equilibrium with a purely electrostatic field. We improve sonic previous existence results in the case of an homogeneous nonlinearity. Moreover, we deal with a limit case, namely when the frequency of the standing wave is equal to the mass of the charged field; this case shows analogous features of the well-known 'zero-mass case' for scalar field equationsI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
