Title：On the Conformal $Q$-Curvature Equation in $\R^{2n}$

Abstract：We consider the conform type equation $-\Delta^n u = K(x)e^{2nu}$ on $\R^{2n}$  with $n \geq 1$ and $K$ non-positive . We are interested in solutions with logarithmic growth at infinity. Particularly we present a general condition for the existence of solutions for Gaussian curvature equation, where we construct new type solutions with different remainder term at infinity. By considering a linear equation $\Delta^n u = f$ in a general setting, we prove the slow decay solutions have more precise asymptotic behavior at infinity under some suitable conditions on $f$. The talk is based on joint works with H.Y. Chen, X. Huang and D. Ye.

Speaker：Zhou Fong，East China Normal University

Date：4:00pm-5:00pm 2021-4-9（Friday）

Venue: Room 208 Building 56

Organizer：School of Mathematical Science

Students and teachers who are interested in PDEs are welcome.