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Finite time blowup of the n-harmonic flow on n-manifolds
Authors:Leslie?Hon-Nam?Cheung,Min-Chun?Hong  author-information"  >  author-information__contact u-icon-before"  >  mailto:hong@maths.uq.edu.au"   title="  hong@maths.uq.edu.au"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:1.Department of Mathematics,The University of Queensland,Brisbane,Australia
Abstract:In this paper, we generalize the no-neck result of Qing and Tian (in Commun Pure Appl Math 50:295–310, 1997) to show that there is no neck during blowing up for the n-harmonic flow as (trightarrow infty ). As an application of the no-neck result, we settle a conjecture of Hungerbühler (in Ann Scuola Norm Sup Pisa Cl Sci 4:593–631, 1997) by constructing an example to show that the n-harmonic map flow on an n-dimensional Riemannian manifold blows up in finite time for (nge 3).
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