Nonexistence of Smooth Axially Symmetric Harmonic Maps from B<sup>3</sup> into S<sup>2</sup>

Nonexistence of Smooth Axially Symmetric Harmonic Maps from B<sup>3</sup> into S<sup>2</sup>

Year:    2011

Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 4 : pp. 289–296

Abstract

Inspired by the construction of blow-up solutions of the heat flow of harmonic maps from D^2 into S^2 via maximum principle (Chang et al., J. Diff. Geom., 36, 1992, pp. 507-515.) we provide examples of nonexistence of smooth axially symmetric harmonic maps from B^3 into S^2 with smooth boundary maps of degree zero.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v24.n4.1

Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 4 : pp. 289–296

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Harmonic map