57 citations · 475 across the 30 of their papers we have counts for
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On the nonlinear Dirac equation on noncompact metric graphs
William Borrelli, Raffaele Carlone, Lorenzo Tentarelli
The paper discusses the Nonlinear Dirac Equation with Kerr-type nonlinearity (i.e., ) on noncompact metric graphs with a finite number of edges, in the case of Kirchhoff-…
A note on the Dirac operator with Kirchoff-type vertex conditions on noncompact metric graphs
William Borrelli, Raffaele Carlone, Lorenzo Tentarelli
In this note we present some properties of the Dirac operator on noncompact metric graphs with Kirchoff-type vertex conditions. In particular, we discuss the specific features of t…
An overview on the standing waves of nonlinear Schrödinger and Dirac equations on metric graphs with localized nonlinearity
William Borrelli, Raffaele Carlone, Lorenzo Tentarelli
We present a brief overview on the existence/nonexistence of standing waves for the NonLinear Schrödinger and the NonLinear Dirac Equations (NLSE/NLDE) on metric graphs with locali…