On a Q-Curvature Equation in Rn

Abstract:
We will talk about the Q-curvature equation (-Δ)^n/2u = Q(x)e^nu in Rⁿ. When n = 2, it is the prescribed Gauss curvature equation -Δu = K(x)e^2u in R², called also the Liouville equation, for which many classical results exist. The situation for is more involved and less understood for other dimensions. We will try to present some recent results, for both the constant curvature and non constant curvature case.

Biography:
Dong Ye received BS in Mathematics from Wuhan University in1990, MA and DEA in Applied Mathematics from University of Paris 11 in 1991. In 1994, he obtained his Ph.D. in Mathematics from École Normale de Cachan. After that, he was Maître de conférences at University of Cergy-Pontoise from 1994 to 2008. He has been a Professor at University of Lorraine since 2008.

Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai