On the standing waves for nonlinear Hartree equation with confining potential

DOI10.1063/1.3691190zbMath1274.81070OpenAlexW2050723720MaRDI QIDQ2861749

Jing Wang, Pei Cao, Wen Ming Zou

Publication date: 11 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3691190

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (12)

Asymptotic behavior and stability for the Schrödinger-Lohe model ⋮ Normalized solutions for a critical Hartree equation with perturbation ⋮ Limit behavior of mass critical Hartree minimization problems with steep potential wells ⋮ Remarks about a fractional Choquard equation: ground state, regularity and polynomial decay ⋮ Normalized solutions to the critical Choquard-type equations with weakly attractive potential and nonlocal perturbation ⋮ Normalized standing waves for the Hartree equations ⋮ Instability of standing waves for a generalized Choquard equation with potential ⋮ Stability of standing waves for a generalized Choquard equation with potential ⋮ A guide to the Choquard equation ⋮ Choquard equations under confining external potentials ⋮ On global existence for mass-supercritical nonlinear fractional Hartree equations ⋮ Limit behavior of ground states of 2D binary BECs in steep potential wells

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