Sign of Green's function of Paneitz operator and the Q curvature equations

Sign of Green's function of Paneitz operator and the Q curvature equations

-
Fengbo Hang, NYU
Fine Hall 314

I will review some recent works with Paul on the fourth order Paneitz operators and Q curvature equations. Among other things, we will discuss the positivity of Green's function of Paneitz operator and its applications to finding constant Q curvature metrics by variational methods.