Nonlinear Fractional Schrödinger Equations...

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Beschreibung

This monograph presents recent results concerning nonlinear fractional elliptic problems in the whole space. More precisely, it investigates the existence, multiplicity and qualitative properties of solutions for fractional Schrödinger equations by applying suitable variational and topological methods.
The book is mainly intended for researchers in pure and applied mathematics, physics, mechanics, and engineering. However, the material will also be useful for students in higher semesters and young researchers, as well as experienced specialists working in the field of nonlocal PDEs.

This is the first book to approach fractional nonlinear Schrödinger equations by applying variational and topological methods.

Zusammenfassung

Provides a set of results concerning nonlinear Schrödinger equations in the whole space driven by fractional operators

Deals with fractional Schrödinger equations involving different type of potentials and nonlinearities satisfying certain growth assumptions

Addressed to researchers interested in pure and applied mathematics, physics, mechanics, and engineering

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2021
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xvii 662 S. 1 s/w Illustr. 662 p. 1 illus.
ISBN-13:	9783030602192
ISBN-10:	3030602192
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Ambrosio, Vincenzo
Auflage:	1st edition 2021
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	240 x 168 x 37 mm
Von/Mit:	Vincenzo Ambrosio
Erscheinungsdatum:	20.04.2021
Gewicht:	1,121 kg