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math.AP2020★ 3 cited
Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold
Antonin Monteil, Rémy Rodiac, Jean Van Schaftingen
We study the asymptotic behaviour, as a small parameter tends to zero, of minimisers of a Ginzburg-Landau type energy with a nonlinear penalisation potential vanishin…
math.AP2020
Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains
Antonin Monteil, Rémy Rodiac, Jean Van Schaftingen
We define renormalised energies for maps that describe the first-order asymptotics of harmonic maps outside of singularities arising due to obstructions generated by the boundary d…