Vieri Benci - Dipartimento di Matematica Applicata "U. Dini”, Università di Pisa, via F. Buonarroti 1/c 56127 Pisa, Italy (email)
Abstract: This paper is devoted to the study of solitons whose existence is related to the ratio energy/charge. These solitons are called hylomorphic. In the first part of the paper we prove an abstract theorem on the existence of hylomorphic solitons which can be applied to the main situations considered in literature. In the second part, we apply this theorem to the nonlinear Schrödinger and Klein Gordon equations defined on a lattice.
Hylomorphic solitons, nonlinear Schroedinger equation, nonlinear
Received: March 2010; Revised: April 2010; Published: April 2010.
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