Differential and Integral Equations

Soliton solutions for the mean curvature flow

N. Hungerbühler and K. Smoczyk

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We consider soliton solutions of the mean curvature flow, i.e., solutions which move under the mean curvature flow by a group of isometries of the ambient manifold. Several examples of solitons on manifolds are discussed. Moreover we present a local existence result for rotating solitons. We also prove global existence and stability for perturbed initial data close to a local soliton.

Article information

Differential Integral Equations, Volume 13, Number 10-12 (2000), 1321-1345.

First available in Project Euclid: 21 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53C44: Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
Secondary: 35K55: Nonlinear parabolic equations 35Q51: Soliton-like equations [See also 37K40]


Hungerbühler, N.; Smoczyk, K. Soliton solutions for the mean curvature flow. Differential Integral Equations 13 (2000), no. 10-12, 1321--1345. https://projecteuclid.org/euclid.die/1356061128

Export citation