Potential well theory for the focusing fractional Choquard equation
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Publication:5136131
DOI10.1063/5.0002234zbMath1452.81105OpenAlexW3033054273MaRDI QIDQ5136131
Publication date: 25 November 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0002234
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Blow-up in context of PDEs (35B44)
Related Items (3)
Multiplicity and concentration of solutions for fractional Kirchhoff–Choquard equation with critical growth ⋮ Scattering for a focusing Hartree equation ⋮ Energy scattering for the focusing fractional generalized Hartree equation
Cites Work
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- Sharp threshold of global existence and instability of standing wave for the Schrödinger-Hartree equation with a harmonic potential
- Blowup for fractional NLS
- Well-posedness for semi-relativistic Hartree equations of critical type
- Symétrie et compacité dans les espaces de Sobolev
- Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
- Saddle points and instability of nonlinear hyperbolic equations
- Fractional quantum mechanics and Lévy path integrals
- A note on the fractional Schrödinger equation of Choquard type
- On the blow-up solutions for the fractional nonlinear Schrödinger equation with combined power-type nonlinearities
- Sharp threshold of blow-up and scattering for the fractional Hartree equation
- Existence of stable standing waves for the fractional Schrödinger equations with combined nonlinearities
- Stability of standing waves for the fractional Schrödinger-Hartree equation
- Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations
- Scattering threshold for the focusing Choquard equation
- Scattering versus blow-up for the focusing \(L^2\) supercritical Hartree equation
- A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation
- Scattering for the focusingL2-supercritical andḢ2-subcritical biharmonic NLS equations
- Derivation of Pekar's Polarons from a Microscopic Model of Quantum Crystal
- Ground states for nonlinear fractional Choquard equations with general nonlinearities
- Mean field dynamics of boson stars
- A Note on Berestycki-Cazenave's Classical Instability Result for Nonlinear Schrödinger Equations
- The Choquard equation and related questions
- Strong instability of standing waves for the fractional Choquard equation
- On fractional Choquard equations
- SOBOLEV INEQUALITIES WITH SYMMETRY
- Blowup for nonlinear wave equations describing boson stars
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