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EnglishThis 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 / BENCI V; FORTUNATO D. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 28(2010), pp. 875-897.
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| Titolo: | Hylomorphic Solitons on Lattices |
| Autori: | |
| Data di pubblicazione: | 2010 |
| Rivista: | |
| Citazione: | Hylomorphic Solitons on Lattices / BENCI V; FORTUNATO D. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 28(2010), pp. 875-897. |
| 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. |
| Handle: | http://hdl.handle.net/11586/14171 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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