Ground States for the NLS Equation with Combined Nonlinearities on Noncompact Metric Graphs
DOI10.1137/20M1377837zbMath1483.35308arXiv2011.00276OpenAlexW3094903049MaRDI QIDQ5030379
Publication date: 17 February 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.00276
nonlinear Schrödinger equationground states\(L^2\)-criticalcombined nonlinearitiesnoncompact metric graphs
Variational inequalities (49J40) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Threshold phenomena and existence results for NLS ground states on metric graphs
- On the lack of bound states for certain NLS equations on metric graphs
- Minimal mass blow up solutions for a double power nonlinear Schrödinger equation
- Existence of a ground state and blow-up problem for a nonlinear Schrödinger equation with critical growth.
- Constrained energy minimization and orbital stability for the NLS equation on a star graph
- NLS ground states on graphs
- Negative energy ground states for the \(L^{2}\)-critical NLSE on metric graphs
- Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on \({\mathbb{R}^3}\)
- Existence of infinitely many stationary solutions of the \(L^{2}\)-subcritical and critical NLSE on compact metric graphs
- Nonlinear scalar field equations. I: Existence of a ground state
- On the Cauchy problem of 3D energy-critical Schrödinger equations with subcritical perturbations
- On the 4D nonlinear Schrödinger equation with combined terms under the energy threshold
- On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities
- Variational and stability properties of constant solutions to the NLS equation on compact metric graphs
- The dynamics of the 3D radial NLS with the combined terms
- Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one
- Standing waves of the quintic NLS equation on the tadpole graph
- Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
- Normalized ground states for the NLS equation with combined nonlinearities
- Quantum graphs and dimensional crossover: the honeycomb
- 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
- Global well-posedness and scattering for nonlinear Schrödinger equations with combined nonlinearities in the radial case
- On the structure of critical energy levels for the cubic focusing NLS on star graphs
- Nonlinear Schrödinger equation on graphs: recent results and open problems
- NLS ground states on metric trees: existence results and open questions
- Nonlinear dynamics on branched structures and networks
- Local minimizers in absence of ground states for the critical NLS energy on metric graphs
- Strong instability of standing waves with negative energy for double power nonlinear Schr\"odinger equations
- The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
This page was built for publication: Ground States for the NLS Equation with Combined Nonlinearities on Noncompact Metric Graphs
