6 citations · 12 across the 8 of their papers we have counts for
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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…
Normalized solutions for the Klein Gordon-Dirac system
Vittorio Coti Zelati, Margherita Nolasco
We prove the existence of a stationary solution for the system describing the interaction between an electron coupled with a massless scalar field (a photon). We find a solution, w…
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…
Ground state for the relativistic one electron atom
Vittorio Coti Zelati, Margherita Nolasco
We study the Dirac-Maxwell system coupled with an external potential of Coulomb type. We use the Foldy--Wouthuysen (unitary) transformation of the Dirac operator and its realizatio…
A variational approach to the Brown-Ravenhall operator for the relativistic one-electron atoms
Vittorio Coti Zelati, Margherita Nolasco
We use the Foldy--Wouthuysen (unitary) transformation to give an alternative characterization of the eigenvalues and eigenfunctions for the Brown-Ravenhall operator (the projected…
Ground states for pseudo-relativistic Hartree equations of critical type
Vittorio Coti Zelati, Margherita Nolasco
We study the existence of ground state solutions for a class of non-linear pseudo-relativistic Schrödinger equations with critical two-body interactions. Such equations are charact…
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…