A proof of the sharp Sobolev inequality

Series: 
SIAM Student Seminar
Thursday, September 18, 2014 - 15:00
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
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).