Existence and stability of standing waves for the mixed dispersion nonlinear Schrödinger equation with a partial confinement in \(\mathbb{R}^N\)
From MaRDI portal
Publication:2698521
DOI10.1007/s12220-023-01207-yOpenAlexW4361223423MaRDI QIDQ2698521
Publication date: 24 April 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-023-01207-y
nonlinear Schrödinger equationspectral theoryconcentration-compactness principleprofile decompositionpartial confinement
Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)
Related Items
Critical Schrödinger-Bopp-Podolsky system with prescribed mass ⋮ Normalized solutions for the mixed dispersion nonlinear Schrödinger equations with four types of potentials and mass subcritical growth
Cites Work
- Unnamed Item
- Stable solitary waves with prescribed \(L^2\)-mass for the cubic Schrödinger system with trapping potentials
- Existence and stability of standing waves for supercritical NLS with a partial confinement
- Nonlinear Schrödinger equations and sharp interpolation estimates
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Normalized concentrating solutions to nonlinear elliptic problems
- Multiple solutions for critical Choquard-Kirchhoff type equations
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials
- Strong instability of standing waves for nonlinear Schrödinger equations with a partial confinement
- Normalized solutions of supercritical nonlinear fractional Schrödinger equation with potential
- Global dynamics below the ground states for NLS under partial harmonic confinement
- Normalized solutions for a Schrödinger equation with critical growth in \(\mathbb{R}^N\)
- Normalized solutions for the Schrödinger equations with \(L^2\)-subcritical growth and different types of potentials
- Normalized solutions to mass supercritical Schrödinger equations with negative potential
- Normalized solution to the Schrödinger equation with potential and general nonlinear term: mass super-critical case
- Existence and stability of standing waves for the Choquard equation with partial confinement
- Existence and stability of standing waves for the inhomogeneous Gross-Pitaevskii equation with a partial confinement
- Scattering for nonlinear Schrödinger equation under partial harmonic confinement
- Stable standing waves of nonlinear Schrödinger equations with potentials and general nonlinearities
- Stable standing waves for cubic nonlinear Schrödinger systems with partial confinement
- Normalized solutions for nonlinear Schrödinger systems with linear couples
- Self-Focusing with Fourth-Order Dispersion
- The Fourth-Order Dispersive Nonlinear Schrödinger Equation: Orbital Stability of a Standing Wave
- Existence and orbital stability of standing waves to nonlinear Schrödinger system with partial confinement
- Orbitally Stable Standing Waves of a Mixed Dispersion Nonlinear Schrödinger Equation
- Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime
- Normalized solutions of mass supercritical Schrödinger equations with potential
- Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion
- Multiplicity and Concentration Results for a Magnetic Schrödinger Equation With Exponential Critical Growth in ℝ2
- The compactness of minimizing sequences for a nonlinear Schrödinger system with potentials
This page was built for publication: Existence and stability of standing waves for the mixed dispersion nonlinear Schrödinger equation with a partial confinement in \(\mathbb{R}^N\)