Timeline for Anisotropic perimeter and regularity of anisotropic minimal surfaces
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 14, 2019 at 11:10 | history | bounty ended | Romeo | ||
| Jan 14, 2019 at 11:10 | vote | accept | Romeo | ||
| Jan 9, 2019 at 4:52 | comment | added | SBK | Maximum principles is an excellent question, but as I allude to, a lot of these questions can't be answered in general for degenerate elliptic PDE and these minimizers are going to be harder. | |
| Jan 9, 2019 at 4:50 | history | edited | SBK | CC BY-SA 4.0 |
added 1282 characters in body
|
| Jan 8, 2019 at 19:52 | comment | added | Romeo | Thanks a lot for your answer! I found rather surprising that very little is known on this topic, I did expect a huge literature on this. I will look through the papers you mentioned. A part from regularity, which seems out-of-reach, do you know whether some maximum principles are available in this setting? In the aforementioned paper by Bombieri & co. it is proved e.g. (using regularity) that if $U,V$ are open sets s.t. their boundaries of least area and $U,V$ coincide out of a compact then they are indeed equal $U=V$. Any ideas for a similar principle in anisotropic case? Thanks again. | |
| Jan 8, 2019 at 19:29 | history | answered | SBK | CC BY-SA 4.0 |