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 Schr¨odinger and Klein Gordon equations defined on a lattice.
Hylomorphic Solitons on Lattices
FORTUNATO, Donato
2010-01-01
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 Schr¨odinger and Klein Gordon equations defined on a lattice.File in questo prodotto:
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