On fractional Choquard equations

Abstract

We investigate a class of nonlinear Schrodinger equations with a generalized Choquard nonlinearity and fractional diffusion. We obtain regularity, existence, nonexistence, symmetry as well as decays properties.

arXiv commentrevised version, 22 pages

References in corpus (2)

• Boson Stars as Solitary Waves
• Ground states for semi-relativistic Schrödinger-Poisson-Slater energies

Cited by in corpus (4)

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• Energy concentration of the focusing energy-critical FNLS