Nonexistence of Smooth Axially Symmetric Harmonic Maps from B3 into S2

Weiyue Ding  & Guofang Wang

doi:10.4208/jpde.v24.n4.1

Nonexistence of Smooth Axially Symmetric Harmonic Maps from B3 into S2

Authors

Weiyue Ding & Guofang Wang

DOI:

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

Keywords:

Harmonic map;axially symmetry;non-existence

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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Published

2020-05-12

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Issue

Vol. 24 No. 4 (2011)

Section

Articles

How to Cite

Nonexistence of Smooth Axially Symmetric Harmonic Maps from B3 into S2. (2020). Journal of Partial Differential Equations, 24(4), 289-296. https://doi.org/10.4208/jpde.v24.n4.1