P. Laurain

activity

20112025

most citedEnergy Quantization of Willmore surfaces at the boundary of the Moduli Space

18 citations · 90 across the 21 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

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 $Q$ -curvature metrics with a singularity

Tobias König, Paul Laurain

For dimensions $n \geq 3$ , we classify singular solutions to the generalized Liouville equation $(- Δ)^{n /2} u = e^{n u}$ on $R^{n} ∖ {0}$ with the finite integral c…

math.DG2021

On the Positive Energy Theorem for Stationary Solutions to Fourth-Order Gravity

Rodrigo Avalos, Paul Laurain, Jorge Lira

In this paper we prove a positive energy theorem related to fourth-order gravitational theories, which is a higher-order analogue of the classical ADM positive energy theorem of ge…

Existence of Ginzburg-Landau minimizers with optimal boundary data and applications

Constant Q-curvature metrics with a singularity

On the Positive Energy Theorem for Stationary Solutions to Fourth-Order Gravity

Constant $Q$ -curvature metrics with a singularity