Mathieu Lewin

collaborators

2 papers

math-ph2026

Liquid Drop Model for Nuclear Matter in the Low Density Limit

Rupert L. Frank, Mathieu Lewin, Robert Seiringer

We consider the liquid drop model with a positive background density in the thermodynamic limit. We prove a two-term asymptotics for the ground state energy per unit volume in the…

math.AP2024

Stability estimate for the Lane-Emden inequality

Eric Carlen, Mathieu Lewin, Elliott H. Lieb +1

The Lane-Emden inequality controls $\iint_{R^{2 d}} I ¨ (x) I ¨ (y) ∣ x - y ∣^{- I^»} d x d y$ in terms of the $L^{1}$ and $L^{p}$ norms of $I ¨ $ . We provide a remainder estimate for this in…