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math.AP2021
Existence of Ginzburg-Landau minimizers with optimal boundary data and applications
PAul Laurain, Romain Petrides
We perform the classical Ginzburg-Landau analysis originated from the celebrated paper by Bethuel, Brezis, Hélein for optimal boundary data. More precisely, we give optimal regular…
math.AP2021★ 2 cited
Constant -curvature metrics with a singularity
Tobias König, Paul Laurain
For dimensions , we classify singular solutions to the generalized Liouville equation on with the finite integral c…