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Minimax Theory and its Applications 04 (2019), No. 1, 205--215
Copyright Heldermann Verlag 2019

A Quick Survey on Recent Results for the NLS Equation on Metric Graphs

Simone Secchi
Dip. di Matematica e Applicazioni, UniversitÓ di Milano Bicocca, Via Roberto Cozzi 55, 20125 Milano, Italy

We survey some recent results about the Nonlinear Schr÷dinger Equation on a metric graph, obtained in collaboration with D. Noja and S. Rolando. We also provide some general information about some analytic tools that are useful to set a convenient environment.

Keywords: Quantum graphs, nonlinear Schroedinger equation, standing waves.

MSC: 35Q55, 81Q35, 35R02.

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