Timeline for Approximate a one-form with nowhere vanishing one-forms having bounded Laplacians
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| Dec 10, 2019 at 14:36 | comment | added | Asaf Shachar | Thank you, you are right. These local estimates are exactly what I needed. It seems then that my final goal is not really achievable. However, I certainly learned a lot from all your great answers, even if I won't "use" them in any tremendous way for some paper (which probably won't be written now...). Thank you very much again. | |
| Dec 9, 2019 at 19:53 | comment | added | Dap | While you don't have a global elliptic estimate, there should be a local elliptic regularity estimate. I don't have a good reference but web.math.ucsb.edu/~grigoryan/246B/lecs/246B_ch5.pdf Theorem 5.3 is the sort of thing you could use. (Then with a $W^{2,p}$ bound you can use the Rellich–Kondrachov theorem.) | |
| Dec 9, 2019 at 17:13 | history | asked | Asaf Shachar | CC BY-SA 4.0 |