On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential
From MaRDI portal
Publication:6089541
DOI10.1111/sapm.12534zbMath1529.35462arXiv2110.06576OpenAlexW3207620441MaRDI QIDQ6089541
Rémi Carles, Yavdat Sh. Il'yasov
Publication date: 15 December 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.06576
Stability in context of PDEs (35B35) 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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On small energy stabilization in the NLS with a trapping potential
- Existence and stability of standing waves for supercritical NLS with a partial confinement
- Quasi-two-dimensional Bose-Einstein condensates with spatially modulated cubic-quintic nonlinearities
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Nonlinear scalar field equations. I: Existence of a ground state
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Rotating points for the conformal NLS scattering operator
- On the Cauchy problem of 3D energy-critical Schrödinger equations with subcritical perturbations
- On the bound states of the nonlinear Schrödinger equation with a linear potential
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Stability theory of solitary waves in the presence of symmetry. I
- Remarks on the Schrödinger operator with singular complex potentials
- Stability and instability of solitary waves for one-dimensional singular Schrödinger equations
- Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation
- Stability of standing waves for nonlinear Schrödinger equations with potentials
- On the blow-up solutions for the fractional nonlinear Schrödinger equation with combined power-type nonlinearities
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Separating solutions of nonlinear problems using nonlinear generalized Rayleigh quotients
- On traveling waves of the nonlinear Schrödinger equation escaping a potential well
- The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications
- Fundamental frequency solutions with prescribed action value to nonlinear Schrödinger equations
- On extreme values of Nehari manifold method via nonlinear Rayleigh's quotient
- Relaxation of solitons in nonlinear Schrödinger equations with potential
- Global well-posedness and scattering for nonlinear Schrödinger equations with combined nonlinearities in the radial case
- Orbital Stability: Analysis Meets Geometry
- Orbital stability of Gausson solutions to logarithmic Schr\"odinger equations
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Stable solutions of the logarithmic Schrödinger equation
- Energy-Critical NLS with Quadratic Potentials
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Soliton-Potential Interactions for Nonlinear Schrödinger Equation in $\mathbb{R}^3$
- Rayleigh quotients of the level set manifolds related to the nonlinear PDE
- Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities
- Orbital stability vs. scattering in the cubic-quintic Schrödinger equation
- On Nonlinear Schrödinger-Type Equations with Nonlinear Damping
- Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions
- The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
- SELECTION OF THE GROUND STATE FOR NONLINEAR SCHRÖDINGER EQUATIONS
- Stability and instability of standing waves for the nonlinear Schrödinger equation with harmonic potential
This page was built for publication: On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential
