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math.AP2023
Normalized solutions for a nonlinear Dirac equation
Vittorio Coti Zelati, Margherita Nolasco
We prove the existence of a normalized, stationary solution with frequency of the nonlinear Dirac equation. The result covers th…
math.AP2020
A normalized solitary wave solution of the Maxwell-Dirac equations
Margherita Nolasco
We prove the existence of a -normalized solitary wave solution for the Maxwell-Dirac equations in (3+1)-Minkowski space. In addition, for the Coulomb-Dirac model, describing f…
math.AP2004
A shadowing lemma for abelian Higgs vortices
Marta Macri', Margherita Nolasco, Tonia Ricciardi
We use a shadowing-type lemma in order to analyze the singular, semilinear elliptic equation describing static self-dual abelian Higgs vortices. Such an approach allows us to const…