33 citations · 82 across the 28 of their papers we have counts for
34 papers
Singular Limits for Three-Dimensional Global Minimizers of Ginzburg--Landau-Type Functionals: Uniform Estimates and Singular Sets
Giacomo Canevari, Haotong Fu, Wei Wang
We study the asymptotic behavior of global minimizers of a Ginzburg--Landau-type functional with general compact vacuum manifold on bounded domains in ,…
The formation of gradient-driven singular structures of codimension one and two in two-dimensions: The case study of ferronematics. Part~{II}: Refined structure of the energy-concentration set
Giacomo Canevari, Federico Luigi Dipasquale, Bianca Stroffolini
In this paper, we continue our study, started in~\cite{CDS1}, of a two-dimensional variational model for ferronematics -- composite materials formed by dispersing magnetic nanopart…
Topological point singularities of manifold-valued maps and approximability by smooth maps
Giacomo Canevari, Giandomenico Orlandi
Given a positive integer~, we consider -maps from a Euclidean domain of dimension into a closed Riemannian manifold $\NN$. The target manifold is required to sati…
Asymptotics of Minimizers for Ginzburg--Landau-type Functionals in High Dimensions
Giacomo Canevari, Haotong Fu, Wei Wang
We investigate local minimizers of Ginzburg--Landau-type functionals in dimension that satisfy logarithmic energy bounds, assuming the potential has a vacuum manifold wit…
Liftings of Sobolev maps into closed Riemannian manifolds via double coverings and minimal connections relative to planar sets, with an application to ferronematics
Giacomo Canevari, Federico Luigi Dipasquale, Bianca Stroffolini
We consider Sobolev maps from a planar domain into a closed Riemannian manifold and their BV liftings via a double covering of the target. We establish a sharp lower bound on the j…
A not-so-strange term coming from somewhere
Giacomo Canevari, Kirill Cherednichenko, Arghir Zarnescu
We consider Laplace's equation in a periodically perforated domain with Robin boundary conditions on the holes, where the Robin coefficient is scaled proportionally to the inverse…