Existence of stable standing waves for the nonlinear Schrödinger equation with the Hardy potential
type: Item
instance of: scholarly article
title: Existence of stable standing waves for the nonlinear Schrödinger equation with the Hardy potential
zbMATH Open document ID: 1501.35365
author: Leijin Cao
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2022-11-08T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 49M41
zbMATH DE Number: 7613225
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: orbital stability
zbMATH Keywords: Hardy potential
zbMATH Keywords: energy minimizers
MaRDI profile type: Publication
full work available at URL: dcdsb.2022125
OpenAlex ID: W4285309482
cites work: \(L^2\) concentration of blow-up solutions for the mass-critical NLS with inverse-square potential
cites work: On stability and instability of standing waves for the nonlinear Schrödinger equation with an inverse-square potential
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: Singular Potentials
cites work: Orbital stability of standing waves for some nonlinear Schrödinger equations
cites work: Minimal mass blow-up solutions for the \(L^2\) critical NLS with inverse-square potential
cites work: Global existence and blowup for a class of the focusing nonlinear Schrödinger equation with inverse-square potential
cites work: On the instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential
cites work: On nonlinear Schrödinger equations with attractive inverse-power potentials
cites work: Existence of stable standing waves for the Lee-Huang-Yang corrected dipolar Gross-Pitaevskii equation
cites work: Stability of standing waves for the fractional Schrödinger-Choquard equation
cites work: Stability of standing waves for the fractional Schrödinger-Hartree equation
cites work: Stability of standing waves for nonlinear Schrödinger equations with potentials
cites work: Stability theory of solitary waves in the presence of symmetry. I
cites work: Stability theory of solitary waves in the presence of symmetry. II
cites work: Existence of solutions with prescribed norm for semilinear elliptic equations
cites work: Sobolev spaces adapted to the Schrödinger operator with inverse-square potential
cites work: The energy-critical NLS with inverse-square potential
cites work: The focusing cubic NLS with inverse-square potential in three space dimensions.
cites work: The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications
cites work: Orbital stability of standing waves for Schrödinger type equations with slowly decaying linear potential
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: Scattering in \(H^{1}\) for the intercritical NLS with an inverse-square potential
cites work: Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential
cites work: Stability and instability of standing waves for one dimensional nonlinear Schrödinger equations with double power nonlinearity
cites work: Energy methods for abstract nonlinear Schrödinger equations
cites work: Normalized ground states for the NLS equation with combined nonlinearities
cites work: Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
cites work: On the normalized ground states of second order PDE's with mixed power non-linearities
cites work: The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
cites work: Orbital stability for the Schrödinger operator involving inverse square potential
cites work: Nonlinear Schrödinger equations and sharp interpolation estimates
cites work: Gravitational Field of a Particle Falling in a Schwarzschild Geometry Analyzed in Tensor Harmonics
cites work: Scattering theory for nonlinear Schrödinger equations with inverse-square potential
cites work: Stability of standing waves for the nonlinear fractional Schrödinger equation
cites work: Focusing NLS with inverse square potential
cites work: Existence of stable standing waves for the fractional Schrödinger equations with combined nonlinearities
DOI: 10.3934/DCDSB.2022125
description: scientific article; zbMATH DE number 7613225