### A proof of the sharp Sobolev inequality

- Series
- SIAM Student Seminar
- Time
- Thursday, September 18, 2014 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Rohan Ghanta – School of Mathematics, Georgia Tech

By showing a duality relation between the Sobolev and
Hardy-Littlewood-Sobolev inequalities, I discuss a proof of the sharp
Sobolev inequality. The duality relation between these two inequalities is
known since 1983 and has led to interesting recent work on the inequalities
(which may be the topic of future talks).