18 citations · 84 across the 18 of their papers we have counts for
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The Yang-Mills-Higgs functional on complex line bundles: asymptotics for critical points
Giacomo Canevari, Federico Luigi Dipasquale, Giandomenico Orlandi
We consider a gauge-invariant Ginzburg-Landau functional (also known as Abelian Yang-Mills-Higgs model) on Hermitian line bundles over closed Riemannian manifolds of dimension $n \…
The Yang-Mills-Higgs functional on complex line bundles: -convergence and the London equation
Giacomo Canevari, Federico Luigi Dipasquale, Giandomenico Orlandi
We consider the Abelian Yang-Mills-Higgs functional, in the non-self dual scaling, on a complex line bundle over a closed Riemannian manifold of dimension . This functiona…
Topological singular set of vector-valued maps, II: -convergence for Ginzburg-Landau type functionals
Giacomo Canevari, Giandomenico Orlandi
We prove a -convergence result for a class of Ginzburg-Landau type functionals with -well potentials, where is a closed and -connected submanif…
Anisotropic tempered diffusion equations
Juan Calvo, Antonio Marigonda, Giandomenico Orlandi
We introduce a functional framework which is specially suited to formulate several classes of anisotropic evolution equations of tempered diffusion type. Under an amenable set of h…
A variational scheme for hyperbolic obstacle problems
Mauro Bonafini, Matteo Novaga, Giandomenico Orlandi
We consider an obstacle problem for (possibly non-local) wave equations, and we prove existence of weak solutions through a convex minimization approach based on a time discrete ap…
Improved partial regularity for manifold-constrained minimisers of subquadratic energies
Giacomo Canevari, Giandomenico Orlandi
We consider minimising -harmonic maps from three-dimensional domains to the real projective plane, for . These maps arise as least-energy configurations in variational mo…