Existence and multiplicity of stable bound states for the nonlinear Klein–Gordon equation

@inproceedings{Bonanno2010ExistenceAM,
  title={Existence and multiplicity of stable bound states for the nonlinear Klein–Gordon equation},
  author={Claudio Bonanno},
  year={2010}
}
We are interested in the problem of existence of soliton-like solutions for the nonlinear Klein-Gordon equation. In particular we study some necessary and sufficient conditions on the nonlinear term to obtain solitons of a given charge. We remark that the conditions we consider can be easily verified. Moreover we show that multiplicity of solitons of the same charge is guaranteed by the " shape " of the nonlinear term for equations on R N , hence without appealing to topological or geometrical… CONTINUE READING

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