Peaked and Low Action Solutions of NLS Equations on Graphs with Terminal Edges
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Publication:5119987
DOI10.1137/19M127447XzbMath1454.35336arXiv1907.05763MaRDI QIDQ5119987
Marco Ghimenti, Angela Pistoia, Simone Dovetta, Anna Maria Micheletti
Publication date: 9 September 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.05763
Lyapunov-Schmidt reductionquantum graphsnonlinear Schrödingerleast actionpeaked solutionsterminal edges
NLS equations (nonlinear Schrödinger equations) (35Q55) Positive solutions to PDEs (35B09) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items (9)
Competing nonlinearities in NLS equations as source of threshold phenomena on star graphs ⋮ Standing waves on quantum graphs ⋮ Numerical simulations on nonlinear quantum graphs with the GraFiDi library ⋮ Doubly nonlinear Schrödinger ground states on metric graphs ⋮ Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs ⋮ Normalized solutions of L 2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities ⋮ On the notion of ground state for nonlinear Schrödinger equations on metric graphs ⋮ Multi-pulse edge-localized states on quantum graphs ⋮ Multiplicity of positive solutions to semi-linear elliptic problems on metric graphs
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