On the notion of ground state for nonlinear Schrödinger equations on metric graphs

We compare ground states for the nonlinear Schrödinger equation on metric graphs, defined as global minimizers of the action functional constrained on the Nehari manifold, and least action solutions, namely minimizers of the action among all solutions to the equation. In principle, four alternative...

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Bibliographic Details
Published in:	Calculus of variations and partial differential equations Vol. 62; no. 5; p. 159
Main Authors:	De Coster, Colette, Dovetta, Simone, Galant, Damien, Serra, Enrico
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2023 Springer Nature B.V Springer Verlag
Subjects:	Analysis Analysis of PDEs Calculus of Variations and Optimal Control; Optimization Constraints Control Graphs Ground state Mathematical and Computational Physics Mathematics Mathematics and Statistics Schrodinger equation Systems Theory Theoretical 35Q55 35R02 58E30 49J40 least action AMS Subject Classification: 35R02 ground states constrained minimization 58E30 nonlinear Schrödinger AMS Subject Classification: 35R02 35Q55 49J40 58E30 nonlinear Schrödinger ground states least action constrained minimization
ISSN:	0944-2669, 1432-0835
Online Access:	Get full text
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