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Joint Princeton-Rutgers Seminar on Geometric PDE's

Stability of Sobolev and Harmonic Map Inequalities

Juncheng Wei, The University of British Columbia

Location:  Zoom
Date & time: Friday, 10 December 2021 at 1:00PM - 2:30PM

December 10, 2021, Friday, 1:00pm (EST),
Abstract: In this talk, I will discuss our recent results on stability of Sobolev inequalities and Harmonic Map Inequalities. For Sobolev inequality we obtain the sharp estimates of the deficiency of \(u\) and sum of Talenti bubbles in terms of the \(H^{-1}\) norm of the Yamabe equation \(\Delta u + u^{\frac{n+2}{n-2}}\). For Harmonic Maps Inequalities, we show that a striking dichotomy in stability between degree one and higher degree maps. (Joint work with B. Deng and L. Sun.)
• December 10, 2021, Friday, 2:00-2:30pm (EST), 

Zoom link to seminar: ( (Meeting ID: 926 6894 3856)
Coffee Hour: ( (Password: PR122021)

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