Details

Nonlinear Fractional Schrödinger Equations in R^N


Nonlinear Fractional Schrödinger Equations in R^N


Frontiers in Mathematics

von: Vincenzo Ambrosio

24,60 €

Verlag: Birkhäuser
Format: PDF
Veröffentl.: 19.04.2021
ISBN/EAN: 9783030602208
Sprache: englisch

Dieses eBook enthält ein Wasserzeichen.

Beschreibungen

<p>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.</p><p>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.</p><p> </p><p>This is the first book to approach fractional nonlinear Schrödinger equations by applying variational and topological methods.</p><p></p>
Preliminaries.-&nbsp;Some abstract results.-&nbsp;Fractional scalar field equations.-&nbsp;Ground states for a pseudo-relativistic Schrödinger equation.- Ground states for a superlinear fractional Schrödinger equation with potentials.-&nbsp;Fractional Schrödinger equations with Rabinowitz condition.-&nbsp;Fractional Schrödinger equations with del Pino-Felmer assumptions.-&nbsp;Fractional Schrödinger equations with superlinear or asymptotically&nbsp;linear nonlinearities.-&nbsp;Multiplicity and concentration results for a fractional Choquard equation.-&nbsp;A multiplicity result for a fractional Kirchho equation with a general&nbsp;nonlinearity.-&nbsp;Multiplicity and concentration of positive solutions for a fractional&nbsp;Kirchho equation.-&nbsp;Concentrating solutions for a fractional Kirchho equation with critical&nbsp;growth.-&nbsp;Multiplicity and concentration results for a fractional Schrödinger Poisson&nbsp;system with critical growth.-&nbsp;An existence result for a fractional Kirchho -Schrödinger-Poisson system.-&nbsp;Multiple positive solutions for a non-homogeneous fractional Schrödinger&nbsp;equation.-&nbsp;Sign-changing solutions for a fractional Schrödinger equation with vanishing&nbsp;potentials.-&nbsp;Fractional Schrödinger equations with magnetic fields.<div><br><div><br></div></div>
<p><i&gt;n< i=""></i&gt;n</p><p>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.</p><p>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.</p><p> </p><p>This is the first book to approach fractional nonlinear Schrödinger equations by applying variational and topological methods.</p><br>
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

Diese Produkte könnten Sie auch interessieren:

Classical Fourier Analysis
Classical Fourier Analysis
von: Loukas Grafakos
PDF ebook
50,24 €
Nonsmooth Dynamics of Contacting Thermoelastic Bodies
Nonsmooth Dynamics of Contacting Thermoelastic Bodies
von: Jan Awrejcewicz, Yuriy Pyr'yev
PDF ebook
106,99 €
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
von: Kenneth Meyer, Glen Hall, Dan Offin
PDF ebook
106,99 €