F. Bethuel, H. Brezis, G. Orlandi: Small energy solution of the Ginzburg-Landau equation C.R. Acad. Sc. Paris, serie 1 Vol. 331, p. 763-770, 2000 S. Baldo, G. Orlandi: Fiber bundles and regular approximation of codimension-one cycles Ann. Global Anal. Geom. Vol. 20, N. 1, p. 47-57, 2001 F. Bethuel, J. Bourgain, H. Brezis, G. Orlandi: $W^{1,p}$ estimates for solutions to the Ginzburg-Landau equation with boundary data in $H^{1/2}$ C.R. Acad. Sc. Paris Serie 1 Vol. 333, N. 12, p. 1069-1076, 2001 F. Bethuel, H. Brezis, G. Orlandi: Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions J. Funct. Anal. Vol. 186, N. 2, p. 432-520, 2001 F. Bethuel, G. Orlandi: Uniform estimates for the parabolic Ginzburg-Landau equation ESAIM, C.O.C.V. N. 8, p. 219-238, 2002 G. Alberti, S. Baldo, G. Orlandi: Functions with prescribed singularities J. Eur. Math. Soc. Vol. 5, N. 3, p. 275-311, 2003 F. Bethuel, G. Orlandi, D. Smets: Vortex rings for the Gross-Pitaevskii equation J. Eur. Math. Soc. Vol. 6, N. 1, p. 17-94, 2004 F. Bethuel, G. Orlandi, D. Smets: Improved estimates for the Ginzburg-Landau equation: the elliptic case Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. 4, N. 2, p. 319-355, 2005 F. Bethuel, G. Orlandi, D. Smets: Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics Duke Math. J. Vol. 130, N. 3, p. 523-614, 2005 G. Alberti, S. Baldo, G. Orlandi: Variational convergence for functionals of Ginzburg-Landau type Indiana Univ. Math. J. Vol. 54, N. 5, p. 1411-1472, 2005 F. Bethuel, G. Orlandi, D. Smets: Convergence of the parabolic Ginzburg-Landau equation to motion by mean curvature Ann. of Math. Vol. 163, N. 1, p. 37-163, 2006 F. Bethuel, G. Orlandi, D. Smets: Quantization and motion law for Ginzburg-Landau vortices Arch. Rational Mech. Anal. Vol. 183, N. 2, p. 315-370, 2007 F. Bethuel, G. Orlandi, D. Smets: Dynamics of multiple-degree Ginzburg-Landau vortices Comm. Math. Phys. Vol. 272, N. 1, p. 229-261, 2007 F. Bethuel, G. Orlandi, D. Smets: On the Cauchy problem for phase and vortices in the parabolic Ginzburg-Landau equation CRM Proc. Lecture Notes Vol. 44, p. 11-31, 2008 S. Baldo, G. Orlandi, S. Weitkamp: Convergence of minimizers with local energy bounds for the Ginzburg-Landau functionals. Indiana Univ. Math. J. Vol. 58, p. 2369-2408, 2009 G. Bellettini, J. Hoppe, M. Novaga, G. Orlandi: Closure and convexity properties of closed relativistic strings Complex Analysis and Operator Theory Vol. 4, N. 3, p. 473-496, 2010 G. Bellettini, M. Novaga, G. Orlandi: Time-like lorentzian minimal submanifolds as singular limits of nonlinear wave equations Physica D Vol. 239, p. 335-339, 2010 A. Briani, A. Chambolle, M. Novaga, G. Orlandi: On the gradient flow of a one-homogeneous functional Confluentes Mathematici Vol. 3, N. 4, p. 1-19, 2011 F. Bethuel, G. Orlandi, D. Smets: Slow motion for gradient systems with equal depth multiple-well potentials J. Differential Equations Vol. 250, N. 1, p. 53-94, 2011 A. Daducci, A. Marigonda, G. Orlandi, R. Posenato: Neuronal fiber-tracking via optimal mass transportation Comm. Pure Appl. Analysis Vol. 11, N. 5, p. 2157-2177, 2012 S. Baldo, R. L. Jerrard, G. Orlandi, H. M. Soner: Convergence of Ginzburg-Landau functionals in 3-d superconductivity Archive Rat. Mech. Analysis Vol. 205, N. 3, p. 699-752, 2012 G. Bellettini, M. Novaga, G. Orlandi: Lorentzian varifolds and applications to closed relativistic strings Indiana Univ. Math. J. Vol. 61, N. 6, p. 2251-2310, 2012 S. Baldo, R. L. Jerrard, G. Orlandi, H. M. Soner: Vortex density models for superconductivity and superfluidity Comm. Math. Physics Vol. 318, N. 1, p. 131--171, 2013 R. L. Jerrard, M. Novaga, G. Orlandi: On the regularity of timelike extremal surfaces Comm. Contemp. Math. Vol. 17, N. 1, p. 19 pages, 2015 G. Bellettini, M. Novaga, G. Orlandi: Eventual regularity for the parabolic minimal surface equation Discrete Cont. Dynam. System A Vol. 35, N. 12, p. 5711-5723, 2015 J. Calvo, M. Novaga, G. Orlandi: Parabolic equations in time dependent domains J. Evol. Eqs. Vol. 17, N. 2, p. 781-804, 2017 P. Athavale, R. L. Jerrard, M. Novaga, G. Orlandi: Weighted TV minimization and applications to vortex density models Journal of Convex Analysis Vol. 24, N. 4, p. 1051-1084, 2017 M. Bonafini, G. Orlandi, E. Oudet: Variational approximation of functionals defined on 1-dimensional connected sets: the planar case SIAM J. Math. Anal. Vol. 50, N. 6, p. 6307-6332, 2018 M. Bonafini, M. Novaga, G. Orlandi: A variational scheme for hyperbolic obstacle problems Nonlinear Analysis Vol. 188, p. 389-404, 2019 G. Canevari, G. Orlandi: Topological singular set of vector-valued maps, I: Applications to manifold-constrained Sobolev and BV spaces Calc. Var. PDE (Accepted Paper) p. 45, 2019 M. Bonafini, G. Orlandi, E. Oudet: Variational approximation of functionals defined on 1-dimensional connected sets in $\mathbb{R}^n$ Advances in Calculus of Variations p. 17, 2019 G. Canevari, G. Orlandi: Lifting for manifold-valued maps of bounded variation Journal of Functional Analysis (Accepted Paper) Vol. 278, N. 10, 2020 G. Canevari, G. Orlandi: Improved partial regularity for manifold-constrained minimisers of subquadratic energies Communications in Mathematical Physics (Accepted Paper) Vol. 374, N. 2020, p. 14831495, 2020 M. Bonafini, V. P. C. Le, M. Novaga, G. Orlandi: On the obstacle problem for fractional semilinear wave equations Nonlinear Analysis Vol. 210, N. 112368, 2021 G. Canevari, G. Orlandi: Topological singular set of vector-valued maps, II: $\Gamma$-convergence for Ginzburg-Landau type functionals Arch. Rational Mech. Anal. (Accepted Paper) Vol. 241, p. 1065-1135, 2021 G. Canevari, Federico Luigi Dipasquale, G. Orlandi: The Yang-Mills-Higgs functional on complex line bundles: $$-convergence and the London equation (preprint) 2022 S. Baldo, V. P. C. Le, A. Massaccesi, G. Orlandi: Energy minimizing maps with prescribed singularities and Gilbert-Steiner optimal networks Mathematics in Engineering Vol. 5, 2023 D. Corona, S. Nardulli, R. Oliver-Bonafoux, G. Orlandi, P. Piccione: Multiplicity results for mass constrained Allen-Cahn equations on Riemannian manifolds with boundary ArXiv (Submitted Paper) p. 48, 2024