6 citations · 12 across the 8 of their papers we have counts for
9 papers
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…
Microcanonical phase transitions for the vortex system
Dario Benedetto, Emanuele Caglioti, Margherita Nolasco
We consider the Microcanonical Variational Principle for the vortex system in a bounded domain. In particular we are interested in the thermodynamic properties of the system in dom…
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…
Topological Observables in Semiclassical Field Theories
M. Nolasco, C. Reina
We give a geometrical set up for the semiclassical approximation to euclidean field theories having families of minima (instantons) parametrized by suitable moduli spaces ${\cal M}…