On fractional Choquard equations

By Pietro d'Avenia, Gaetano Siciliano, Marco Squassina. 2014

212 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mathematical Physics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/0edf50a23e6f7fcecd221b7fe3919d03ee4aa29b