10 citations · 23 across the 6 of their papers we have counts for
7 papers
A sharp weighted Wirtinger inequality
Tonia Ricciardi
We obtain a sharp estimate for the best constant in the Wirtinger type inequality \[ \int_0^{2π}γ^pw^2\le C\int_0^{2π}γ^qw'^2 \] where is bounded above and below away fro…
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…
A sharp Hölder estimate for elliptic equations in two variables
Tonia Ricciardi
We prove a sharp Hölder estimate for solutions of linear two-dimensional, divergence form elliptic equations with measurable coefficients, such that the matrix of the coefficients…
Multiple vortices for a self-dual CP(1) Maxwell-Chern-Simons model
Francesco Chiacchio, Tonia Ricciardi
We prove the existence of at least two doubly periodic vortex solutions for a self-dual CP(1) Maxwell-Chern-Simons model. To this end we analyze a system of two elliptic equations…
Multiplicity for a nonlinear elliptic fourth order equation in Maxwell-Chern-Simons vortex theory
Tonia Ricciardi
We prove the existence of at least two solutions for a fourth order equation, which includes the vortex equations for the U(1) and CP(1) self-dual Maxwell-Chern-Simons models as sp…
On a nonlinear elliptic system from Maxwell-Chern-Simons vortex theory
Tonia Ricciardi
We define an abstract nonlinear elliptic system, admitting a variational structure, and including the vortex equations for some Maxwell-Chern-Simons gauge theories as special cases…