We look for standing waves of nonlinear Schr¨odinger equation i~@à @t + ~2 2m ¢Ã + jÃjp¡2 à = g(x) ei!t coupled with Maxwell’s equations. We use the variational formulation introduced by Benci and Fortunato in 1992 for studying an eigenvalue problem for the Schr¨odinger-Maxwell system in bounded domains. We establish the existence of multiple standing waves both in the homogeneous and the non-homogeneous cases by means of the fibering method introduced by Pohozaev.
Multiple solitary waves for non-homogeneous Schrödinger-Maxwell systems in R^3
SALVATORE, Addolorata
2006-01-01
Abstract
We look for standing waves of nonlinear Schr¨odinger equation i~@à @t + ~2 2m ¢Ã + jÃjp¡2 à = g(x) ei!t coupled with Maxwell’s equations. We use the variational formulation introduced by Benci and Fortunato in 1992 for studying an eigenvalue problem for the Schr¨odinger-Maxwell system in bounded domains. We establish the existence of multiple standing waves both in the homogeneous and the non-homogeneous cases by means of the fibering method introduced by Pohozaev.File in questo prodotto:
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