In this paper we obtain some non-existence results for the Klein-Gordon equation coupled with the electrostatic field. The method relies on the deduction of some suitable Pohozaev identity which provides necessary conditions to get existence of nontrivial solutions. The case of Maxwell-Schroedinger type coupled equations is also considered.
Non-Existence Results for the Coupled Klein-Gordon-Maxwell Equations
MUGNAI, Dimitri
2004
Abstract
In this paper we obtain some non-existence results for the Klein-Gordon equation coupled with the electrostatic field. The method relies on the deduction of some suitable Pohozaev identity which provides necessary conditions to get existence of nontrivial solutions. The case of Maxwell-Schroedinger type coupled equations is also considered.File in questo prodotto:
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