Solution of the fractional Allen-Cahn equation which are invariant under screw motion

Thumbnail Image

Date

2015

Authors

Editor

Advisor

Volume

Issue

Journal

Series Titel

Book Title

Publisher

Cambridge : arXiv

Supplementary Material

Other Versions

Link to publishers' Version

http://arxiv.org/abs/1509.00786

Abstract

We establish existence and non-existence results for entire solutions to the fractional Allen-Cahn equation in R3, which vanish on helicoids and are invariant under screw-motion. In addition, we prove that helicoids are surfaces with vanishing nonlocal mean curvature.

Description

Keywords

Fractional Laplacian, entire solutions, nonlocal perimeter

Keywords GND

Conference

Publication Type

Report

Version

publishedVersion

URI

https://oa.tib.eu/renate/handle/123456789/3377

Collections

Mathematik

License

This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.