Published Paper

Inserted: 8 feb 2005

Journal: Adv. Nonlinear Stud.
Volume: 4
Number: 3
Pages: 307-322
Year: 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 Poho\u{z}aev identity which provides necessary conditions to get existence of nontrivial solutions. The case of Maxwell-Schrödinger type coupled equations is also considered.

Keywords: Klein-Gordon-Maxwell system, Schrödinger-Maxwell system, non-existence, bound states

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