Normalized solutions with positive energies for a coercive problem and application to the cubic–quintic nonlinear Schrödinger equation
From MaRDI portal
Publication:5045189
DOI10.1142/S0218202522500361zbMath1497.35434arXiv2111.13020MaRDI QIDQ5045189
Publication date: 4 November 2022
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.13020
cubic-quintic nonlinear Schrödinger equationnonlinear scalar field equationspositive energy solutionsmass subcritical regimeprescribed \(L^2\)-norm problem
NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20)
Related Items
Self-bound vortex states in nonlinear Schrödinger equations with LHY correction ⋮ Existence and multiplicity of normalized solutions with positive energy for the Kirchhoff equation ⋮ Normalized ground states to the \(p\)-Laplacian equation with general nonlinearities ⋮ On global minimizers for a mass constrained problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on \({\mathbb{R}^3}\)
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Nonlinear scalar field equations. I: Existence of a ground state
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- On the Cauchy problem of 3D energy-critical Schrödinger equations with subcritical perturbations
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Stability theory of solitary waves in the presence of symmetry. I
- Existence of solitary waves in higher dimensions
- A mass supercritical problem revisited
- A note on deformation argument for \(L^2\) normalized solutions of nonlinear Schrödinger equations and systems
- The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications
- Dual variational methods in critical point theory and applications
- Nonlinear scalar field equations with \(L^2\) constraint: mountain pass and symmetric mountain pass approaches
- On the normalized ground states of second order PDE's with mixed power non-linearities
- Multiple normalized solutions for quasi-linear Schrödinger equations
- Stable standing waves of nonlinear Schrödinger equations with a general nonlinear term
- On Dipolar Quantum Gases in the Unstable Regime
- Orbital stability vs. scattering in the cubic-quintic Schrödinger equation
- Scattering for the Cubic-Quintic NLS: Crossing the Virial Threshold
- Nonradial normalized solutions for nonlinear scalar field equations
- The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities