Non-Existence Results for the Coupled

  title={Non-Existence Results for the Coupled},
  author={Teresa D'Aprile and Dimitri Mugnai},
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 Pohoz̆aev identity which provides necessary conditions to get existence of nontrivial solutions. The case of Maxwell-Schrödinger type coupled equations is also considered. 1991 Mathematics Subject Classification. 35B40, 35B45, 35J55. 

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