12 citations · 12 across the 4 of their papers we have counts for
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Manifold-constrained free discontinuity problems and Sobolev approximation
Federico Luigi Dipasquale, Bianca Stroffolini
We study the regularity of local minimisers of a prototypical free-discontinuity problem involving both a manifold-valued constraint on the maps (which are defined on a bounded dom…
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…
Torus-like solutions for the Landau-de Gennes model. Part I: the Lyuksyutov regime
Federico Dipasquale, Vincent Millot, Adriano Pisante
We study global minimizers of a continuum Landau-De Gennes energy functional for nematic liquid crystals, in three-dimensional domains. Assuming smooth and uniaxial (e.g. homeotrop…