Timeline for harmonic maps from cone to $S^2$ locally lipschitz?
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Feb 18, 2014 at 14:16 | comment | added | Alexandre Eremenko | In your question you did not specify the range of $\alpha$. In general, this map is Holder. | |
| Feb 18, 2014 at 13:13 | comment | added | jiangsaiyin | :Just as you have said before. Take the cone as a sector with total angel $\alpha<2\pi$. Then $\phi^{-1}$ is $z\mapsto z^{\pi/\alpha}$. It seems to me this map is also locally Lipshcitz(hence every harmonic map is locally lipschitz). | |
| Feb 17, 2014 at 14:53 | history | answered | Alexandre Eremenko | CC BY-SA 3.0 |