Timeline for Kelvin transformation in fully nonlinear equation
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 20, 2023 at 2:58 | comment | added | Jeffrey Case | In general you don’t have an equation which makes sense at $z=0$. There are some removable singularity theorems under appropriate assumptions on $u$ and $K$. You can probably find details in papers by Yanyan Li or Maria del Mar Gonzalez from the early- to mid-2000s, but I don’t know the most general reference. | |
| Apr 20, 2023 at 2:47 | comment | added | Davidi Cone | Thanks! I have one more question, the Kelvin transform make a dialation on the variable $z\rightarrow\frac{z}{|z|^2}$, however the origin $z=0$ that is not make sense will not make any problem? | |
| Apr 19, 2023 at 18:49 | comment | added | Jeffrey Case | Right, $g_0$ is the flat metric. Without knowing your background and interests, I'm unsure of what would be a "friendly" reference. A good starting point might be one of Alice Chang's survey articles on fully nonlinear elliptic equations. | |
| Apr 19, 2023 at 15:08 | comment | added | Davidi Cone | Thanks again! I want to ask here the notation $g_0$ is the Euclidean metric $g_{flat}$? By the way, if convenient, would you recommend me some references that are friendly to read. Thank you very much. | |
| Apr 19, 2023 at 14:09 | history | answered | Jeffrey Case | CC BY-SA 4.0 |