Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs
DOI10.1016/j.jmaa.2023.127672zbMath1528.35162OpenAlexW4385781573MaRDI QIDQ6058849
Guoqing Zhang, Xiaoguang Li, Lele Liu
Publication date: 1 November 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127672
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Partial functional-differential equations (35R10) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable standing waves for a NLS on star graphs as local minimizers of the constrained energy
- On the lack of bound states for certain NLS equations on metric graphs
- Constrained energy minimization and orbital stability for the NLS equation on a star graph
- NLS ground states on graphs
- NLS ground states on metric graphs with localized nonlinearities
- Negative energy ground states for the \(L^{2}\)-critical NLSE on metric graphs
- Existence of infinitely many stationary solutions of the \(L^{2}\)-subcritical and critical NLSE on compact metric graphs
- Variational and stability properties of constant solutions to the NLS equation on compact metric graphs
- Standing waves of the quintic NLS equation on the tadpole graph
- Edge-localized states on quantum graphs in the limit of large mass
- On Pleijel's nodal domain theorem for quantum graphs
- Gradient flow approach to the calculation of stationary states on nonlinear quantum graphs
- Numerical simulations on nonlinear quantum graphs with the GraFiDi library
- Normalized ground states for the NLS equation with combined nonlinearities
- Least energy solutions to semi-linear elliptic problems on metric graphs
- Quantum graphs and dimensional crossover: the honeycomb
- Limits of quantum graph operators with shrinking edges
- Dimensional crossover with a continuum of critical exponents for NLS on doubly periodic metric graphs
- \(L^2\)-critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric features
- Bound states of the NLS equation on metric graphs with localized nonlinearities
- A theory of spectral partitions of metric graphs
- One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: remarks on duality and flows
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- NLS ground states on metric trees: existence results and open questions
- Local minimizers in absence of ground states for the critical NLS energy on metric graphs
- Ground States for the NLS Equation with Combined Nonlinearities on Noncompact Metric Graphs
- Standing waves on quantum graphs
- Peaked and Low Action Solutions of NLS Equations on Graphs with Terminal Edges
- Ground States of the L 2-Critical NLS Equation with Localized Nonlinearity on a Tadpole Graph
- Surgery principles for the spectral analysis of quantum graphs
- Quantum graphs: I. Some basic structures
- Normalized solutions of L 2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities
This page was built for publication: Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs
