Nonlinear Fractional Schrödinger Equations in R^N

Author:   Vincenzo Ambrosio
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
ISBN:  

9783030602192


Pages:   662
Publication Date:   20 April 2021
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Nonlinear Fractional Schrödinger Equations in R^N


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Author:   Vincenzo Ambrosio
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Weight:   1.136kg
ISBN:  

9783030602192


ISBN 10:   3030602192
Pages:   662
Publication Date:   20 April 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

The text offers a thourough overview of fractional Schroedinger equations in RN that can be used for a course at a graduate or Ph.D. level. A rich bibliography of more than three hundred references completes the book. (Simone Secchi, zbMATH 1472.35003, 2021)


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