38 citations · 188 across the 27 of their papers we have counts for
34 papers
On the minimality of the radial singularity in nematic liquid crystals
Pierre Bousquet, Xavier Lamy
We show that the map , , minimizes the anisotropic energy \begin{align*} \int_{B_1} \Big( k_1(\mathrm{div}\, u)^2+k_2…
Sharp quantitative stability of the Möbius group among sphere-valued maps in arbitrary dimension
André Guerra, Xavier Lamy, Konstantinos Zemas
In this work we prove a sharp quantitative form of Liouville's theorem, which asserts that, for all , the weakly conformal maps of with degree ar…
On Lebesgue points of entropy solutions to the eikonal equation
Xavier Lamy, Elio Marconi
We consider entropy solutions to the eikonal equation in two space dimensions. These solutions are motivated by a class of variational problems and fail in general t…
Generation of vortices in the Ginzburg-Landau heat flow
Michał Kowalczyk, Xavier Lamy
We consider the Ginzburg-Landau heat flow on the two-dimensional flat torus, starting from an initial data with a finite number of nondegenerate zeros -- but possibly very high ini…
Stability of the vortex in micromagnetics and related models
Xavier Lamy, Elio Marconi
We consider line-energy models of Ginzburg-Landau type in a two-dimensional simply-connected bounded domain. Configurations of vanishing energy have been characterized by Jabin, Ot…
Quantitative rigidity of differential inclusions in two dimensions
Xavier Lamy, Andrew Lorent, Guanying Peng
For any compact connected one-dimensional submanifold which has no rank-one connection and is elliptic, we prove the quantitative rigidity estimate…