Timeline for Can a $W^{1,2}$ map from the disk to the circle restrict to a degree one map on the boundary?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| May 31, 2019 at 15:11 | comment | added | Behnam Esmayli | This argument and the constructions are beautiful! | |
| Jul 16, 2018 at 16:59 | comment | added | Yasha Berchenko-Kogan | Thanks! Continuity on a thin annulus resolves both questions. | |
| Jul 14, 2018 at 0:01 | comment | added | Piotr Hajlasz | @YashaBerchenko-Kogan I added some details showing continuity up to the boundary. You are right, my previous argument was kind of sloppy. If you have further questions, just ask. | |
| Jul 14, 2018 at 0:00 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
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| Jul 13, 2018 at 20:33 | comment | added | Yasha Berchenko-Kogan | I'm having trouble following part of the proof. How does the necessary condition that $f\vert_{\partial B^n}\in C^0$ get used in showing that $f_\epsilon$ is a continuous extension of $f\vert_{\partial B^n}$? Is it used to show that $f_\epsilon$ is continuous up to the boundary or to show that $f_\epsilon$ has the same trace as $f$? | |
| Jul 13, 2018 at 19:55 | vote | accept | Yasha Berchenko-Kogan | ||
| May 8, 2018 at 15:46 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
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| May 6, 2018 at 17:45 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
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| May 6, 2018 at 2:44 | history | answered | Piotr Hajlasz | CC BY-SA 4.0 |