Nonlinear Fractional Schrödinger Equations in R^N

• Preliminaries.- Some abstract results.- Fractional scalar field equations.- Ground states for a pseudo-relativistic Schrödinger equation.- Ground states for a superlinear fractional Schrödinger equation with potentials.- Fractional Schrödinger equations with Rabinowitz condition.- Fractional Schrödinger equations with del Pino-Felmer assumptions.- Fractional Schrödinger equations with superlinear or asymptotically linear nonlinearities.- Multiplicity and concentration results for a fractional Choquard equation.- A multiplicity result for a fractional Kirchho equation with a general nonlinearity.- Multiplicity and concentration of positive solutions for a fractional Kirchho equation.- Concentrating solutions for a fractional Kirchho equation with critical growth.- Multiplicity and concentration results for a fractional Schrödinger Poisson system with critical growth.- An existence result for a fractional Kirchho -Schrödinger-Poisson system.- Multiple positive solutions for a non-homogeneous fractional Schrödinger equation.- Sign-changing solutions for a fractional Schrödinger equation with vanishing potentials.- Fractional Schrödinger equations with magnetic fields.

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