On fractional Choquard equations

2014/06/29 by d'Avenia, Pietro, Siciliano, Gaetano, Squassina, Marco · 3 citations
#35P15 #35P30 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1406.7517

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.

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• Isolated Singularities for Fractional Hartree Equations
• Normalized solutions for fractional Choquard equation with critical growth on bounded domain
• On the existence of normalized solutions to a class of fractional Choquard equation with potentials

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