Nonlinear Evolution Equations and Related Topics

March 11 (Wed)　15:40--16:30

Speaker

Yuxia Guo　(Tsinghua University)

Title

Existence, non-existence and local uniqueness for polyharmonic equations with critical exponent

Abstract

In this talk, we are concerned on the existence, non-existence and local uniqueness for polyharmonic equations with critical exponent. Besides its geometry root, this kind of equations reprenstnt a class of PDEs of higher order and they are related to the basic equation in the mechanic of elsaticity. The main tools used in the proof of these results are Moving Plane, Lyapunov Schmidt Reduction and a better understanding of the classical Pohozaev Identity for polyharmonic equation.