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math.AP2026
NLS ground states on a hybrid plane
Riccardo Adami, Filippo Boni, Raffaele Carlone +1
We study existence, nonexistence, and qualitative properties of ground states for a focusing, subcritical Nonlinear Schrödinger Equation on a hybrid plane, consisting of a half-li…
math.AP2025
Normalized NLS ground states on a double plane hybrid
Filippo Boni, Raffaele Carlone, Ilenia Di Giorgio
We investigate the existence and the properties of normalized ground states of a nonlinear Schrödinger equation on a quantum hybrid formed by two planes connected at a point. The…
math.AP2024
The search for NLS ground states on a hybrid domain: Motivations, methods, and results
Riccardo Adami, Filippo Boni, Raffaele Carlone +1
We discuss the problem of establishing the existence of the Ground States for the subcritical focusing Nonlinear Schrödinger energy on a domain made of a line and a plane intersec…