Multiple normalized solutions for a Sobolev critical Schrödinger equation

2021/06/26 by Louis Jeanjean, Thanh Trung Le · 11 citations
Mathematics · Physics and Astronomy · #Nonlinear Partial Differential Equations #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons

paper · doi:10.1007/s00208-021-02228-0

Citations

• Solitons and Scattering for the Cubic–Quintic Nonlinear Schrödinger Equation on ℝ³ R 3
• Nonlinear scalar field equations, II existence of infinitely many solutions
• Orbital stability of standing waves for some nonlinear Schr�dinger equations
• Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations
• A relation between pointwise convergence of functions and convergence of functionals
• Nonlinear scalar field equations, I existence of a ground state
• Normalized ground states for the NLS equation with combined nonlinearities: The Sobolev critical case
• Normalized ground states for the NLS equation with combined nonlinearities

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• Normalized solutions for the Sobolev critical Schrödinger equation with trapping potential
• Uniqueness and stability of normalized ground states for Hartree equation with a harmonic potential
• Sharp Stability of Solitons for the Cubic-Quintic NLS on R²
• Monotonicity Conjectures and Sharp Stability for Solitons of the Cubic-Quintic NLS on R³
• Existence of multiple normalized solutions to a critical growth Choquard equation involving mixed operator
• Normalized solution for Kirchhoff equation with upper critical exponent and mixed Choquard type nonlinearities
• Normalized solutions to Kirchhoff equation with the Sobolev critical exponent in high dimensional spaces
• Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case