Article ID Journal Published Year Pages File Type
841947 Nonlinear Analysis: Theory, Methods & Applications 2010 16 Pages PDF
Abstract

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 RNRN, hence without appealing to topological or geometrical properties of the domain.

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Physical Sciences and Engineering Engineering Engineering (General)
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