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On regularity for degenerate elliptic equations in the plane
Thibault Lacombe, Xavier Lamy
We show that Lipschitz solutions of in are , for strictly monotone vector fields …
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…
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…
On optimal regularity estimates for finite-entropy solutions of scalar conservation laws
Xavier Lamy, Andrew Lorent, Guanying Peng
We consider finite-entropy solutions of scalar conservation laws , that is, bounded weak solutions whose entropy productions are locally finite Radon measures. Unde…
Vortex structure in p-wave superconductors
Stan Alama, Lia Bronsard, Xavier Lamy
We study vortices in p-wave superconductors in a Ginzburg-Landau setting. The state of the superconductor is described by a pair of complex wave functions, and the p-wave symmetric…