Solitons in Three Space Dimensions as a Model for Relativistic Particles

  • L. Pisani
Conference paper


This paper gives a short report of research carried out in the last five years on the existence of solitons in three space dimensions.

Benci, Fortunato and Pisani have developed a model equation proposed in 1964 by C. H. Derrick. Using some recent techniques of nonlinear functional analysis, the existence of a non-trivial solitary wave, with a topological constraint, has been proved.

Subsequent research has demonstrated the relativistic behaviour of these waves, multiplicity results and the interaction with the electromagnetic field.


Solitary Wave Relativistic Particle Multiplicity Result Nonlinear Functional Analysis Topological Constraint 
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© Springer-Verlag Italia 2000

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  • L. Pisani

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