@Article{JPDE-24-289, author = {Weiyue Ding and Guofang Wang }, title = {Nonexistence of Smooth Axially Symmetric Harmonic Maps from B3 into S2}, journal = {Journal of Partial Differential Equations}, year = {2011}, volume = {24}, number = {4}, pages = {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.
}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v24.n4.1}, url = {http://global-sci.org/intro/article_detail/jpde/5211.html} }