Archivio Istituzionale della RicercaWe prove the nonexistence of ground states for NLS on bridge-like graphs, i.e. graphs with two halflines and four vertices, of which two at infinity, with Kirchhoff matching conditions. By ground state we mean any minimizer of the energy functional among all functions with the same mass.
Lack of Ground States for bridge-like graphs / Adami, Riccardo; Serra, Enrico; Tilli, Paolo. - STAMPA. - (2014). (Intervento presentato al convegno Mathematical Technology of Networks tenutosi a Bielefeld (Germany) nel 5-7 December 2013).
Lack of Ground States for bridge-like graphs
ADAMI, RICCARDO;SERRA, Enrico;TILLI, PAOLO
2014
Abstract
We prove the nonexistence of ground states for NLS on bridge-like graphs, i.e. graphs with two halflines and four vertices, of which two at infinity, with Kirchhoff matching conditions. By ground state we mean any minimizer of the energy functional among all functions with the same mass.
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https://hdl.handle.net/11583/2604154