Existence and stability of standing waves for a class of inhomogeneous nonlinear Schrödinger equations with \(L^2\)-critical nonlinearity
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Publication:6656696
DOI10.1007/s00025-024-02328-8MaRDI QIDQ6656696
Xiaoguang Li, Li Zhang, Xinyan Liu
Publication date: 3 January 2025
Published in: Results in Mathematics (Search for Journal in Brave)
existencenonlinear Schrödinger equationsorbital stabilitystanding waves\(L^2\)-critical nonlinearity
NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Cites Work
- Unnamed Item
- Nonlinear Schrödinger equations and sharp interpolation estimates
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Bound state solutions for a class of nonlinear Schrödinger equations
- Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials
- On the existence of positive entire solutions of a semilinear elliptic equation
- On the orbital stability for a class of nonautonomous NLS
- On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions
- Stability of attractive Bose-Einstein condensates
- Asymptotic behavior of least energy solutions for a fractional Laplacian eigenvalue problem on \(\mathbb{R}^N\)
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