A. Cohen

most citedUniqueness of excited states to

- Δ u + u - u^{3} = 0

in three dimensions

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math-ph2025

A simple bound on fluctuations in the 3D Coulomb gas

Alex Cohen, Felipe Hernández

The Coulomb gas models an interacting system of $N$ negatively charged particles. We give a new proof that, at sufficiently low temperature, smooth linear statistics $\sum_j φ(x_j)…

math.CA2021★ 1 cited

Uniqueness of excited states to $- Δ u + u - u^{3} = 0$ in three dimensions

Alex Cohen, Zhenhao Li, Wilhelm Schlag

We prove the uniqueness of several excited states to the ODE $y ¨ (t) + \frac{2}{t} y ˙ (t) + f (y (t)) = 0$ , $y (0) = b$ , and $y ˙ (0) = 0$ for the model nonlinearity $f(y) =…

A simple bound on fluctuations in the 3D Coulomb gas

Uniqueness of excited states to −Δu+u−u3=0 in three dimensions

Uniqueness of excited states to $- Δ u + u - u^{3} = 0$ in three dimensions