Loading...
Please wait, while we are loading the content...
Similar Documents
On a Sharp Sobolev Inequality with Remainder Term UROP + Final Paper , Summer 2019
| Content Provider | Semantic Scholar |
|---|---|
| Author | Jerison, David |
| Copyright Year | 2019 |
| Abstract | We establish a sharp Sobolev inequality on bounded domians with remainder term in weak L norm for a wide range of q. Through this, we can get a lower bound for the exponent in the quantitative sharp Sobolev Inequality. The key step in the present paper is to show that for radial functions with certain compact support, the distance between the functional and the extremals of the Sobolev Inequality can be bounded from below in terms of weak L norm of the functional. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://math.mit.edu/research/undergraduate/urop-plus/documents/2019/Xie.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
