Timeline for Extremal functions for Gagliardo-Nirenberg inequality
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 28, 2015 at 3:05 | comment | added | SMS | Actually I do not. And actually showing that the best constant of the GN inequality can be attained can be quite tricky because of the global nature of the problem. Perhaps this is not a good analogy, but you can read up on the Yamabe problem to appreciate how difficult it can be to establish the existence of extremizers of nonlinear functionals. | |
| Jun 28, 2015 at 2:52 | comment | added | user72012 | Thanks very much. Do you know any references showing the existence of Gagliardo-Nirenberg maximizers in other cases? Of course, finding what GN(N,p,q,r) is is difficult, but I think that showing GN(N,p,q,r) can be attained is much easier, right? | |
| Jun 28, 2015 at 0:05 | history | answered | SMS | CC BY-SA 3.0 |