Nonlinear Fractional Schroedinger Equations in R^N

Vincenzo Ambrosio

662 pages, parution le 19/04/2021

Ajouter à une liste

Indisponible

Résumé

More precisely, it investigates the existence, multiplicity and qualitative properties of solutions for fractional Schroedinger equations by applying suitable variational and topological methods.

The book is mainly intended for researchers in pure and applied mathematics, physics, mechanics, and engineering.

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 Schroedinger 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 Schroedinger equations by applying variational and topological methods.

Preliminaries.- Some abstract results.- Fractional scalar field equations.- Ground states for a pseudo-relativistic Schroedinger equation.- Ground states for a superlinear fractional Schroedinger equation with potentials.- Fractional Schroedinger equations with Rabinowitz condition.- Fractional Schroedinger equations with del Pino-Felmer assumptions.- Fractional Schroedinger 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 Schroedinger Poisson system with critical growth.- An existence result for a fractional Kirchho -Schroedinger-Poisson system.- Multiple positive solutions for a non-homogeneous fractional Schroedinger equation.- Sign-changing solutions for a fractional Schroedinger equation with vanishing potentials.- Fractional Schroedinger equations with magnetic fields.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Vincenzo Ambrosio
Parution	19/04/2021
Nb. de pages	662
EAN13	9783030602192

Avantages Eyrolles.com

Livraison à partir de 0,01 € en France métropolitaine

Paiement en ligne SÉCURISÉ

Livraison dans le monde

Retour sous 15 jours

+ d'un million et demi de livres disponibles

Nonlinear Fractional Schroedinger Equations in R^N

Résumé

Caractéristiques techniques

Consultez aussi