Nonlinear fractional Schrödinger equations in R^N / Vincenzo Ambrosio.
Ambrosio, Vincenzo, author.
2021
QC174.2.W28
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Title
Nonlinear fractional Schrödinger equations in R^N / Vincenzo Ambrosio.
Author
Ambrosio, Vincenzo, author.
ISBN
9783030602208 (electronic bk.)
3030602206 (electronic bk.)
9783030602192 (print)
DOI
https://doi.org/10.1007/978-3-030-60220-8
Published
Cham, Switzerland : Birkhäuser, [2021].
Language
English
Description
1 online resource (xvii, 662 pages) : illustrations
Item Number
10.1007/978-3-030-60220-8 doi
Call Number
QC174.2.W28
Dewey Decimal Classification
530.12/4
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 27, 2021).
Series
Frontiers in mathematics. Frontiers in elliptic and parabolic problems, 2730-549X
Available in Other Form
3-030-60219-2
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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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