Existence of stable standing waves for the nonlinear Schrödinger equation with the Hardy potential
From MaRDI portal
Publication:2093471
DOI10.3934/dcdsb.2022125zbMath1501.35365OpenAlexW4285309482MaRDI QIDQ2093471
Publication date: 8 November 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2022125
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDE constrained optimization (numerical aspects) (49M41)
Related Items (1)
Cites Work
- Scattering theory for nonlinear Schrödinger equations with inverse-square potential
- Orbital stability for the Schrödinger operator involving inverse square potential
- The energy-critical NLS with inverse-square potential
- Minimal mass blow-up solutions for the \(L^2\) critical NLS with inverse-square potential
- Nonlinear Schrödinger equations and sharp interpolation estimates
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Stability theory of solitary waves in the presence of symmetry. II
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Stability theory of solitary waves in the presence of symmetry. I
- Stability of standing waves for nonlinear Schrödinger equations with potentials
- Stability of standing waves for the nonlinear fractional Schrödinger equation
- Existence of stable standing waves for the fractional Schrödinger equations with combined nonlinearities
- Scattering in \(H^{1}\) for the intercritical NLS with an inverse-square potential
- Stability of standing waves for the fractional Schrödinger-Hartree equation
- Stability of standing waves for the fractional Schrödinger-Choquard equation
- Sobolev spaces adapted to the Schrödinger operator with inverse-square potential
- Stability and instability of standing waves for one dimensional nonlinear Schrödinger equations with double power nonlinearity
- Energy methods for abstract nonlinear Schrödinger equations
- Existence of stable standing waves for the Lee-Huang-Yang corrected dipolar Gross-Pitaevskii equation
- Orbital stability of standing waves for Schrödinger type equations with slowly decaying linear potential
- Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential
- Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
- Normalized ground states for the NLS equation with combined nonlinearities
- The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications
- On nonlinear Schrödinger equations with attractive inverse-power potentials
- \(L^2\) concentration of blow-up solutions for the mass-critical NLS with inverse-square potential
- On the normalized ground states of second order PDE's with mixed power non-linearities
- The focusing cubic NLS with inverse-square potential in three space dimensions.
- Global existence and blowup for a class of the focusing nonlinear Schrödinger equation with inverse-square potential
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Gravitational Field of a Particle Falling in a Schwarzschild Geometry Analyzed in Tensor Harmonics
- Existence of solutions with prescribed norm for semilinear elliptic equations
- On stability and instability of standing waves for the nonlinear Schrödinger equation with an inverse-square potential
- Focusing NLS with inverse square potential
- On the instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential
- The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
- Singular Potentials
This page was built for publication: Existence of stable standing waves for the nonlinear Schrödinger equation with the Hardy potential