Ground States of the L 2-Critical NLS Equation with Localized Nonlinearity on a Tadpole Graph

DOI10.1007/978-3-030-44097-8_5zbMath1473.35503arXiv1803.09246OpenAlexW2795112667MaRDI QIDQ5126334

Simone Dovetta, Lorenzo Tentarelli

Publication date: 16 October 2020

Published in: Discrete and Continuous Models in the Theory of Networks (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09246

zbMATH Keywords

nonlinear Schrödinger equationminimizationcritical growthmetric graphslocalized nonlinearity

Mathematics Subject Classification ID

Variational inequalities (49J40) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (11)

Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs ⋮ \(L^2\)-critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric features ⋮ Normalized solutions of L ²-supercritical NLS equations on noncompact metric graphs with localized nonlinearities ⋮ On the nonlinear Dirac equation on noncompact metric graphs ⋮ Nonlinear Dirac Equation on Graphs with Localized Nonlinearities: Bound States and Nonrelativistic Limit ⋮ Normalized solutions for the Kirchhoff equation on noncompact metric graphs ^* ⋮ Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one ⋮ One-dimensional versions of three-dimensional system: Ground states for the NLS on the spatial grid ⋮ NLS ground states on metric trees: existence results and open questions ⋮ An overview on the standing waves of nonlinear Schrödinger and Dirac equations on metric graphs with localized nonlinearity ⋮ Mass-constrained ground states of the stationary NLSE on periodic metric graphs

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