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20042026
most citedUniqueness and Nondegeneracy of Ground States for in

391 citations · 2.1k across the 36 of their papers we have counts for

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math.AP2026

Finite-time blow-up for the Calogero--Sutherland derivative NLS on

Xi Chen, Enno Lenzmann

We study finite-time blow-up for the focusing Calogero--Sutherland derivative NLS on the torus with smooth initial data in the Hardy space . For finite-gap poten…

math.AP2026

The half-wave maps equation on : Global well-posedness in and almost periodicity

Patrick Gérard, Enno Lenzmann

We consider the half-wave maps equation for , where $\mat…

math.AP2025

Existence and Uniqueness for the Fractional Gelfand Equation in

Florian P. Lanz, Enno Lenzmann

We prove existence, symmetry and uniqueness of solutions to the fractional Gelfand equation $$ (-Δ)^s u = e^u \quad \mbox{in } \quad \mbox{with} \quad \int_{\mathbb{R}}…

math.AP2024★ 3 cited

Global Well-Posedness and Soliton Resolution for the Half-Wave Maps Equation with Rational Data

Patrick Gérard, Enno Lenzmann

We study the energy-critical half-wave maps equation: \[ \partial_t \mathbf{u} = \mathbf{u} \times |D| \mathbf{u} \] for . O…

math.AP2022★ 5 cited

The Calogero--Moser Derivative Nonlinear Schrödinger Equation

Patrick Gérard, Enno Lenzmann

We study the Calogero--Moser derivative NLS equation posed on the Hardy-Sobolev space with suitable…

math.AP2022

Uniqueness for the Nonlocal Liouville Equation in

Maria Ahrend, Enno Lenzmann

We prove uniqueness of solutions for the nonlocal Liouville equation $$ (-Δ)^{1/2} w = K e^w \quad \mbox{in $\mathbb{R}$} $$ with finite total -curvature $\int_{\mathbb{R}} K e^…