Timeline for Does there exist energy-minimizing immersions?
Current License: CC BY-SA 3.0
7 events
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May 23, 2018 at 14:39 | comment | added | Pietro Majer | A nice discussion on energy minimising maps between annuli is also in Struwe's book Variational Methods (especially about the Plateau boundary conditions) | |
Mar 29, 2018 at 14:03 | comment | added | Piotr Hajlasz | @AsafShachar If you fix boundary conditions for a mapping between annuli (as in the result above), then an immersion has to be a diffeomorphism. Am I right? | |
Mar 29, 2018 at 9:49 | comment | added | Asaf Shachar | Thanks, this is very interesting. This shows that the infimum of the energy over all homeomorphisms is not attained. I wonder whether this implies the infimum over immersions is also not attained. | |
Mar 28, 2018 at 21:24 | history | edited | Piotr Hajlasz | CC BY-SA 3.0 |
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Mar 26, 2018 at 19:15 | history | edited | Piotr Hajlasz | CC BY-SA 3.0 |
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Mar 26, 2018 at 15:26 | history | edited | Piotr Hajlasz | CC BY-SA 3.0 |
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Mar 26, 2018 at 15:07 | history | answered | Piotr Hajlasz | CC BY-SA 3.0 |