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The book is divided in two parts. The abstract theory is sufficiently flexible to be applied to other situations, like the existence of vortices. Provides existence and stability results for solitary waves, solitons and vortices in variational nonlinear PDE's Theory sufficiently general and flexible to be applied to many other situations Applications to the existence of solitons in the nonlinear beam equation and to the study of vortices Contains a general existence theory for hylomorphic solitons Summarizes the main results obtained in the last 35 years.
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