Rearrangements and the Monge–Ampére equations

Description of video

Date: 6/30/23
Speaker :Zbigniew Blocki

Lempert 70

Conferences

Keywords

    Comparison results for rearrangements of solutions to elliptic equations are known for linear equations (Talenti) and for the real Monge–Ampére equation (Talenti, Tso). The main tool in the proof is always an appropriate isoperimetric inequality. These results often lead to optimal estimates, as they reduce the problem to radially symmetric solutions. We will discuss a similar question for the complex Monge–Ampére equation.

    Downloads

    Related videos

    Baum-Bott residue currents

    Elizabeth Wulcan

    Lempert 70

    on 6/29/23

    Oka-1 manifolds

    Franc Forstneric

    Lempert 70

    on 6/27/23