Stable solitary waves for pseudo-relativistic Hartree equations with short range potential

DOI10.1016/J.NA.2021.112275zbMath1467.35319OpenAlexW3127530961MaRDI QIDQ2019308

Xiao Luo, Tao Yang

Publication date: 20 April 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2021.112275

zbMATH Keywords

pseudo-relativistic Hartree equationshort range potentialstable solitary wave

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) PDEs in connection with quantum mechanics (35Q40) Galactic and stellar structure (85A15) Soliton solutions (35C08) PDEs in connection with astronomy and astrophysics (35Q85)

Related Items (3)

Orbital stability for the mass-critical and supercritical pseudo-relativistic nonlinear Schrödinger equation ⋮ On the nonlinear Schrödinger equation with a toroidal-shaped trap in the strong confinement regime ⋮ Limit behaviors of pseudo-relativistic Hartree equation with power-type perturbations

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