6 citations · 16 across the 4 of their papers we have counts for
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An abstract theorem on the existence of hylomorphic solitons
Vieri Benci, Donato Fortunato
In this paper we prove an abstract theorem which can be used to study the existence of solitons for various dynamical systems described by partial differential equations. We also g…
Existence of solitons in the nonlinear beam equation
Vieri Benci, Donato Fortunato
This paper concerns with the existence of solitons, namely stable solitary waves in the nonlinear beam equation (NBE) with a suitable nonlinearity. An equation of this type has bee…
Existence of hylomorphic solitary waves in Klein-Gordon and in Klein-Gordon-Maxwell equations
Vieri Benci, Donato Fortunato
Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localized packet and which preserves this localization in time. A solitary wave which h…
Solitary waves in Abelian Gauge Theories
Vieri Benci, Donato Fortunato
Abelian gauge theories consist of a class of field equations which provide a model for the interaction between matter and electromagnetic fields. In this paper we analyze the exist…
Three dimensional vortices in Abelian Gauge Theories
Vieri Benci, Donato Fortunato
In this paper we consider an Abelian Gauge Theory in R^4 equipped with the Minkowski metric. This theory leads to a system of equations, the Klein-Gordon-Maxwell equations, which p…