Abstract
This chapter deals with the Nonlinear Klein-Gordon Equation (NKG). After having analyzed the general features of NKG, we apply the abstract theory of Chap. 2 and we prove the existence of hylomorphic solitons. In the last part of this chapter, we show that some relativistic effects such as the space contraction, the time dilation, the Einstein equation, are consequences of the Poincarè invariance of NKG.
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Benci, V., Fortunato, D. (2014). The Nonlinear Klein-Gordon Equation. In: Variational Methods in Nonlinear Field Equations. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-06914-2_4
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DOI: https://doi.org/10.1007/978-3-319-06914-2_4
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